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Finding the Fourth Proportional to 232,722.25, 321,156.71 and 126,738.25

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Solution

The fourth proportional to 232,722.25, 321,156.71 and 126,738.25 is: 174,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722.25 : 321,156.71 = 126,738.25 : x
  2. Step 2: Convert to fraction form
    232,722.25/321,156.71 = 126,738.25/x
  3. Step 3: Cross multiply
    232,722.25x = 321,156.71 × 126,738.25
  4. Step 4: Simplify right side
    232,722.25x = 40,702,838,767.47
  5. Step 5: Solve for x
    x = 40,702,838,767.47/232,722.25
  6. Step 6: Final answer
    x = 174,898.79

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