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Finding the Fourth Proportional to 293,143.88, 439,666.14 and 82,732.52

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Solution

The fourth proportional to 293,143.88, 439,666.14 and 82,732.52 is: 124,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,143.88 : 439,666.14 = 82,732.52 : x
  2. Step 2: Convert to fraction form
    293,143.88/439,666.14 = 82,732.52/x
  3. Step 3: Cross multiply
    293,143.88x = 439,666.14 × 82,732.52
  4. Step 4: Simplify right side
    293,143.88x = 36,374,687,720.87
  5. Step 5: Solve for x
    x = 36,374,687,720.87/293,143.88
  6. Step 6: Final answer
    x = 124,084.76

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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.