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Finding the Fourth Proportional to 107,692.92, 161,834.49 and 101,578.86

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Solution

The fourth proportional to 107,692.92, 161,834.49 and 101,578.86 is: 152,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,692.92 : 161,834.49 = 101,578.86 : x
  2. Step 2: Convert to fraction form
    107,692.92/161,834.49 = 101,578.86/x
  3. Step 3: Cross multiply
    107,692.92x = 161,834.49 × 101,578.86
  4. Step 4: Simplify right side
    107,692.92x = 16,438,963,002.88
  5. Step 5: Solve for x
    x = 16,438,963,002.88/107,692.92
  6. Step 6: Final answer
    x = 152,646.65

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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.