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Finding the Fourth Proportional to 123,468.48, 185,193.52 and 44,582.78

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Solution

The fourth proportional to 123,468.48, 185,193.52 and 44,582.78 is: 66,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,468.48 : 185,193.52 = 44,582.78 : x
  2. Step 2: Convert to fraction form
    123,468.48/185,193.52 = 44,582.78/x
  3. Step 3: Cross multiply
    123,468.48x = 185,193.52 × 44,582.78
  4. Step 4: Simplify right side
    123,468.48x = 8,256,442,311.11
  5. Step 5: Solve for x
    x = 8,256,442,311.11/123,468.48
  6. Step 6: Final answer
    x = 66,870.85

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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.