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Finding the Fourth Proportional to 129,022.16, 178,044.35 and 71,665.11

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Solution

The fourth proportional to 129,022.16, 178,044.35 and 71,665.11 is: 98,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022.16 : 178,044.35 = 71,665.11 : x
  2. Step 2: Convert to fraction form
    129,022.16/178,044.35 = 71,665.11/x
  3. Step 3: Cross multiply
    129,022.16x = 178,044.35 × 71,665.11
  4. Step 4: Simplify right side
    129,022.16x = 12,759,567,569.30
  5. Step 5: Solve for x
    x = 12,759,567,569.30/129,022.16
  6. Step 6: Final answer
    x = 98,894.39

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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.