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Finding the Fourth Proportional to 169,710.69, 234,193.17 and 101,765.16

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Solution

The fourth proportional to 169,710.69, 234,193.17 and 101,765.16 is: 140,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,710.69 : 234,193.17 = 101,765.16 : x
  2. Step 2: Convert to fraction form
    169,710.69/234,193.17 = 101,765.16/x
  3. Step 3: Cross multiply
    169,710.69x = 234,193.17 × 101,765.16
  4. Step 4: Simplify right side
    169,710.69x = 23,832,704,626.61
  5. Step 5: Solve for x
    x = 23,832,704,626.61/169,710.69
  6. Step 6: Final answer
    x = 140,431.37

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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.