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Finding the Fourth Proportional to 115,084.29, 172,622.31 and 40,204.17

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Solution

The fourth proportional to 115,084.29, 172,622.31 and 40,204.17 is: 60,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,084.29 : 172,622.31 = 40,204.17 : x
  2. Step 2: Convert to fraction form
    115,084.29/172,622.31 = 40,204.17/x
  3. Step 3: Cross multiply
    115,084.29x = 172,622.31 × 40,204.17
  4. Step 4: Simplify right side
    115,084.29x = 6,940,136,697.03
  5. Step 5: Solve for x
    x = 6,940,136,697.03/115,084.29
  6. Step 6: Final answer
    x = 60,304.81

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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.