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Finding the Fourth Proportional to 104,711.74, 144,503.29 and 56,964.97

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Solution

The fourth proportional to 104,711.74, 144,503.29 and 56,964.97 is: 78,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,711.74 : 144,503.29 = 56,964.97 : x
  2. Step 2: Convert to fraction form
    104,711.74/144,503.29 = 56,964.97/x
  3. Step 3: Cross multiply
    104,711.74x = 144,503.29 × 56,964.97
  4. Step 4: Simplify right side
    104,711.74x = 8,231,625,831.59
  5. Step 5: Solve for x
    x = 8,231,625,831.59/104,711.74
  6. Step 6: Final answer
    x = 78,612.26

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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.