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Finding the Fourth Proportional to 177,714.68, 266,572.02 and 71,146.61

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Solution

The fourth proportional to 177,714.68, 266,572.02 and 71,146.61 is: 106,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,714.68 : 266,572.02 = 71,146.61 : x
  2. Step 2: Convert to fraction form
    177,714.68/266,572.02 = 71,146.61/x
  3. Step 3: Cross multiply
    177,714.68x = 266,572.02 × 71,146.61
  4. Step 4: Simplify right side
    177,714.68x = 18,965,696,210.28
  5. Step 5: Solve for x
    x = 18,965,696,210.28/177,714.68
  6. Step 6: Final answer
    x = 106,719.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.