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Finding the Fourth Proportional to 206,088.24, 309,158.28 and 72,937.20

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Solution

The fourth proportional to 206,088.24, 309,158.28 and 72,937.20 is: 109,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088.24 : 309,158.28 = 72,937.20 : x
  2. Step 2: Convert to fraction form
    206,088.24/309,158.28 = 72,937.20/x
  3. Step 3: Cross multiply
    206,088.24x = 309,158.28 × 72,937.20
  4. Step 4: Simplify right side
    206,088.24x = 22,549,139,300.02
  5. Step 5: Solve for x
    x = 22,549,139,300.02/206,088.24
  6. Step 6: Final answer
    x = 109,414.97

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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.