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Finding the Fourth Proportional to 206,087.20, 284,411.02 and 115,437.86

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Solution

The fourth proportional to 206,087.20, 284,411.02 and 115,437.86 is: 159,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,087.20 : 284,411.02 = 115,437.86 : x
  2. Step 2: Convert to fraction form
    206,087.20/284,411.02 = 115,437.86/x
  3. Step 3: Cross multiply
    206,087.20x = 284,411.02 × 115,437.86
  4. Step 4: Simplify right side
    206,087.20x = 32,831,799,509.22
  5. Step 5: Solve for x
    x = 32,831,799,509.22/206,087.20
  6. Step 6: Final answer
    x = 159,310.23

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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.