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Finding the Fourth Proportional to 232,884.60, 321,249 and 146,695.20

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Solution

The fourth proportional to 232,884.60, 321,249 and 146,695.20 is: 202,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884.60 : 321,249 = 146,695.20 : x
  2. Step 2: Convert to fraction form
    232,884.60/321,249 = 146,695.20/x
  3. Step 3: Cross multiply
    232,884.60x = 321,249 × 146,695.20
  4. Step 4: Simplify right side
    232,884.60x = 47,125,686,304.80
  5. Step 5: Solve for x
    x = 47,125,686,304.80/232,884.60
  6. Step 6: Final answer
    x = 202,356.39

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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.