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Finding the Fourth Proportional to 232,756.24, 321,231 and 130,781.92

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Solution

The fourth proportional to 232,756.24, 321,231 and 130,781.92 is: 180,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,756.24 : 321,231 = 130,781.92 : x
  2. Step 2: Convert to fraction form
    232,756.24/321,231 = 130,781.92/x
  3. Step 3: Cross multiply
    232,756.24x = 321,231 × 130,781.92
  4. Step 4: Simplify right side
    232,756.24x = 42,011,206,943.52
  5. Step 5: Solve for x
    x = 42,011,206,943.52/232,756.24
  6. Step 6: Final answer
    x = 180,494.44

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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.