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Finding the Fourth Proportional to 137,951.98, 206,884.23 and 59,045.02

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Solution

The fourth proportional to 137,951.98, 206,884.23 and 59,045.02 is: 88,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.98 : 206,884.23 = 59,045.02 : x
  2. Step 2: Convert to fraction form
    137,951.98/206,884.23 = 59,045.02/x
  3. Step 3: Cross multiply
    137,951.98x = 206,884.23 × 59,045.02
  4. Step 4: Simplify right side
    137,951.98x = 12,215,482,759.41
  5. Step 5: Solve for x
    x = 12,215,482,759.41/137,951.98
  6. Step 6: Final answer
    x = 88,548.81

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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.