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Finding the Fourth Proportional to 138,405, 190,998.90 and 74,742.80

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Solution

The fourth proportional to 138,405, 190,998.90 and 74,742.80 is: 103,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405 : 190,998.90 = 74,742.80 : x
  2. Step 2: Convert to fraction form
    138,405/190,998.90 = 74,742.80/x
  3. Step 3: Cross multiply
    138,405x = 190,998.90 × 74,742.80
  4. Step 4: Simplify right side
    138,405x = 14,275,792,582.92
  5. Step 5: Solve for x
    x = 14,275,792,582.92/138,405
  6. Step 6: Final answer
    x = 103,145.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.