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Finding the Fourth Proportional to 137,706.30, 206,559.45 and 95,715.90

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Solution

The fourth proportional to 137,706.30, 206,559.45 and 95,715.90 is: 143,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.30 : 206,559.45 = 95,715.90 : x
  2. Step 2: Convert to fraction form
    137,706.30/206,559.45 = 95,715.90/x
  3. Step 3: Cross multiply
    137,706.30x = 206,559.45 × 95,715.90
  4. Step 4: Simplify right side
    137,706.30x = 19,771,023,660.26
  5. Step 5: Solve for x
    x = 19,771,023,660.26/137,706.30
  6. Step 6: Final answer
    x = 143,573.85

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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.