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Finding the Fourth Proportional to 123,702.94, 185,652.78 and 44,839.72

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Solution

The fourth proportional to 123,702.94, 185,652.78 and 44,839.72 is: 67,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,702.94 : 185,652.78 = 44,839.72 : x
  2. Step 2: Convert to fraction form
    123,702.94/185,652.78 = 44,839.72/x
  3. Step 3: Cross multiply
    123,702.94x = 185,652.78 × 44,839.72
  4. Step 4: Simplify right side
    123,702.94x = 8,324,618,672.42
  5. Step 5: Solve for x
    x = 8,324,618,672.42/123,702.94
  6. Step 6: Final answer
    x = 67,295.24

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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.