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Finding the Fourth Proportional to 390,177.90, 585,313.75 and 137,406.15

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Solution

The fourth proportional to 390,177.90, 585,313.75 and 137,406.15 is: 206,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,177.90 : 585,313.75 = 137,406.15 : x
  2. Step 2: Convert to fraction form
    390,177.90/585,313.75 = 137,406.15/x
  3. Step 3: Cross multiply
    390,177.90x = 585,313.75 × 137,406.15
  4. Step 4: Simplify right side
    390,177.90x = 80,425,708,929.56
  5. Step 5: Solve for x
    x = 80,425,708,929.56/390,177.90
  6. Step 6: Final answer
    x = 206,125.74

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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.