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Finding the Fourth Proportional to 232,772, 321,201.50 and 130,781.24

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Solution

The fourth proportional to 232,772, 321,201.50 and 130,781.24 is: 180,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,772 : 321,201.50 = 130,781.24 : x
  2. Step 2: Convert to fraction form
    232,772/321,201.50 = 130,781.24/x
  3. Step 3: Cross multiply
    232,772x = 321,201.50 × 130,781.24
  4. Step 4: Simplify right side
    232,772x = 42,007,130,459.86
  5. Step 5: Solve for x
    x = 42,007,130,459.86/232,772
  6. Step 6: Final answer
    x = 180,464.71

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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.