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Finding the Fourth Proportional to 101,654.97, 140,284.19 and 56,333.70

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Solution

The fourth proportional to 101,654.97, 140,284.19 and 56,333.70 is: 77,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,654.97 : 140,284.19 = 56,333.70 : x
  2. Step 2: Convert to fraction form
    101,654.97/140,284.19 = 56,333.70/x
  3. Step 3: Cross multiply
    101,654.97x = 140,284.19 × 56,333.70
  4. Step 4: Simplify right side
    101,654.97x = 7,902,726,491.11
  5. Step 5: Solve for x
    x = 7,902,726,491.11/101,654.97
  6. Step 6: Final answer
    x = 77,740.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.