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Finding the Fourth Proportional to 232,286.40, 348,544.80 and 132,523.20

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Solution

The fourth proportional to 232,286.40, 348,544.80 and 132,523.20 is: 198,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,286.40 : 348,544.80 = 132,523.20 : x
  2. Step 2: Convert to fraction form
    232,286.40/348,544.80 = 132,523.20/x
  3. Step 3: Cross multiply
    232,286.40x = 348,544.80 × 132,523.20
  4. Step 4: Simplify right side
    232,286.40x = 46,190,272,239.36
  5. Step 5: Solve for x
    x = 46,190,272,239.36/232,286.40
  6. Step 6: Final answer
    x = 198,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.