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Finding the Fourth Proportional to 293,123.52, 439,677.99 and 82,758.42

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Solution

The fourth proportional to 293,123.52, 439,677.99 and 82,758.42 is: 124,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,123.52 : 439,677.99 = 82,758.42 : x
  2. Step 2: Convert to fraction form
    293,123.52/439,677.99 = 82,758.42/x
  3. Step 3: Cross multiply
    293,123.52x = 439,677.99 × 82,758.42
  4. Step 4: Simplify right side
    293,123.52x = 36,387,055,761.18
  5. Step 5: Solve for x
    x = 36,387,055,761.18/293,123.52
  6. Step 6: Final answer
    x = 124,135.57

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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.