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Finding the Fourth Proportional to 138,027.60, 207,041.40 and 121,406.40

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Solution

The fourth proportional to 138,027.60, 207,041.40 and 121,406.40 is: 182,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,027.60 : 207,041.40 = 121,406.40 : x
  2. Step 2: Convert to fraction form
    138,027.60/207,041.40 = 121,406.40/x
  3. Step 3: Cross multiply
    138,027.60x = 207,041.40 × 121,406.40
  4. Step 4: Simplify right side
    138,027.60x = 25,136,151,024.96
  5. Step 5: Solve for x
    x = 25,136,151,024.96/138,027.60
  6. Step 6: Final answer
    x = 182,109.60

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