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Finding the Fourth Proportional to 114,098.28, 171,132.76 and 29,864.22

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Solution

The fourth proportional to 114,098.28, 171,132.76 and 29,864.22 is: 44,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.28 : 171,132.76 = 29,864.22 : x
  2. Step 2: Convert to fraction form
    114,098.28/171,132.76 = 29,864.22/x
  3. Step 3: Cross multiply
    114,098.28x = 171,132.76 × 29,864.22
  4. Step 4: Simplify right side
    114,098.28x = 5,110,746,393.85
  5. Step 5: Solve for x
    x = 5,110,746,393.85/114,098.28
  6. Step 6: Final answer
    x = 44,792.49

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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.