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Finding the Fourth Proportional to 171,502.38, 257,280.84 and 53,149.23

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Solution

The fourth proportional to 171,502.38, 257,280.84 and 53,149.23 is: 79,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,502.38 : 257,280.84 = 53,149.23 : x
  2. Step 2: Convert to fraction form
    171,502.38/257,280.84 = 53,149.23/x
  3. Step 3: Cross multiply
    171,502.38x = 257,280.84 × 53,149.23
  4. Step 4: Simplify right side
    171,502.38x = 13,674,278,539.75
  5. Step 5: Solve for x
    x = 13,674,278,539.75/171,502.38
  6. Step 6: Final answer
    x = 79,732.30

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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.