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Finding the Fourth Proportional to 153,702.30, 230,534.01 and 48,531.90

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Solution

The fourth proportional to 153,702.30, 230,534.01 and 48,531.90 is: 72,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.30 : 230,534.01 = 48,531.90 : x
  2. Step 2: Convert to fraction form
    153,702.30/230,534.01 = 48,531.90/x
  3. Step 3: Cross multiply
    153,702.30x = 230,534.01 × 48,531.90
  4. Step 4: Simplify right side
    153,702.30x = 11,188,253,519.92
  5. Step 5: Solve for x
    x = 11,188,253,519.92/153,702.30
  6. Step 6: Final answer
    x = 72,791.71

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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.