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Finding the Fourth Proportional to 171,813.29, 257,658.17 and 59,463

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Solution

The fourth proportional to 171,813.29, 257,658.17 and 59,463 is: 89,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813.29 : 257,658.17 = 59,463 : x
  2. Step 2: Convert to fraction form
    171,813.29/257,658.17 = 59,463/x
  3. Step 3: Cross multiply
    171,813.29x = 257,658.17 × 59,463
  4. Step 4: Simplify right side
    171,813.29x = 15,321,127,465.40
  5. Step 5: Solve for x
    x = 15,321,127,465.40/171,813.29
  6. Step 6: Final answer
    x = 89,173.12

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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.