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Finding the Fourth Proportional to 172,586.70, 258,584.40 and 137,157.30

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Solution

The fourth proportional to 172,586.70, 258,584.40 and 137,157.30 is: 205,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,586.70 : 258,584.40 = 137,157.30 : x
  2. Step 2: Convert to fraction form
    172,586.70/258,584.40 = 137,157.30/x
  3. Step 3: Cross multiply
    172,586.70x = 258,584.40 × 137,157.30
  4. Step 4: Simplify right side
    172,586.70x = 35,466,738,126.12
  5. Step 5: Solve for x
    x = 35,466,738,126.12/172,586.70
  6. Step 6: Final answer
    x = 205,500.99

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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.