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Finding the Fourth Proportional to 101,630.74, 152,446.20 and 42,434.14

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Solution

The fourth proportional to 101,630.74, 152,446.20 and 42,434.14 is: 63,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,630.74 : 152,446.20 = 42,434.14 : x
  2. Step 2: Convert to fraction form
    101,630.74/152,446.20 = 42,434.14/x
  3. Step 3: Cross multiply
    101,630.74x = 152,446.20 × 42,434.14
  4. Step 4: Simplify right side
    101,630.74x = 6,468,923,393.27
  5. Step 5: Solve for x
    x = 6,468,923,393.27/101,630.74
  6. Step 6: Final answer
    x = 63,651.25

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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.