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Finding the Fourth Proportional to 107,892,751.60, 161,839,127.40 and 75,014,268.40

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Solution

The fourth proportional to 107,892,751.60, 161,839,127.40 and 75,014,268.40 is: 112,521,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,892,751.60 : 161,839,127.40 = 75,014,268.40 : x
  2. Step 2: Convert to fraction form
    107,892,751.60/161,839,127.40 = 75,014,268.40/x
  3. Step 3: Cross multiply
    107,892,751.60x = 161,839,127.40 × 75,014,268.40
  4. Step 4: Simplify right side
    107,892,751.60x = 12,140,243,740,405,396
  5. Step 5: Solve for x
    x = 12,140,243,740,405,396/107,892,751.60
  6. Step 6: Final answer
    x = 112,521,402.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.