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Finding the Fourth Proportional to 282,468.38, 389,711.50 and 159,944

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Solution

The fourth proportional to 282,468.38, 389,711.50 and 159,944 is: 220,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,468.38 : 389,711.50 = 159,944 : x
  2. Step 2: Convert to fraction form
    282,468.38/389,711.50 = 159,944/x
  3. Step 3: Cross multiply
    282,468.38x = 389,711.50 × 159,944
  4. Step 4: Simplify right side
    282,468.38x = 62,332,016,156
  5. Step 5: Solve for x
    x = 62,332,016,156/282,468.38
  6. Step 6: Final answer
    x = 220,669.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.