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Finding the Fourth Proportional to 104,472.25, 144,167.78 and 56,724.57

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Solution

The fourth proportional to 104,472.25, 144,167.78 and 56,724.57 is: 78,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,472.25 : 144,167.78 = 56,724.57 : x
  2. Step 2: Convert to fraction form
    104,472.25/144,167.78 = 56,724.57/x
  3. Step 3: Cross multiply
    104,472.25x = 144,167.78 × 56,724.57
  4. Step 4: Simplify right side
    104,472.25x = 8,177,855,470.17
  5. Step 5: Solve for x
    x = 8,177,855,470.17/104,472.25
  6. Step 6: Final answer
    x = 78,277.78

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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.