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Finding the Fourth Proportional to 101,692.92, 140,339.87 and 61,398.86

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Solution

The fourth proportional to 101,692.92, 140,339.87 and 61,398.86 is: 84,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,692.92 : 140,339.87 = 61,398.86 : x
  2. Step 2: Convert to fraction form
    101,692.92/140,339.87 = 61,398.86/x
  3. Step 3: Cross multiply
    101,692.92x = 140,339.87 × 61,398.86
  4. Step 4: Simplify right side
    101,692.92x = 8,616,708,030.55
  5. Step 5: Solve for x
    x = 8,616,708,030.55/101,692.92
  6. Step 6: Final answer
    x = 84,732.62

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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.