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Finding the Fourth Proportional to 157,314.90, 235,931.07 and 107,385.78

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Solution

The fourth proportional to 157,314.90, 235,931.07 and 107,385.78 is: 161,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,314.90 : 235,931.07 = 107,385.78 : x
  2. Step 2: Convert to fraction form
    157,314.90/235,931.07 = 107,385.78/x
  3. Step 3: Cross multiply
    157,314.90x = 235,931.07 × 107,385.78
  4. Step 4: Simplify right side
    157,314.90x = 25,335,641,978.18
  5. Step 5: Solve for x
    x = 25,335,641,978.18/157,314.90
  6. Step 6: Final answer
    x = 161,050.49

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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.