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Finding the Fourth Proportional to 242,432.80, 363,524.66 and 130,207.43

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Solution

The fourth proportional to 242,432.80, 363,524.66 and 130,207.43 is: 195,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,432.80 : 363,524.66 = 130,207.43 : x
  2. Step 2: Convert to fraction form
    242,432.80/363,524.66 = 130,207.43/x
  3. Step 3: Cross multiply
    242,432.80x = 363,524.66 × 130,207.43
  4. Step 4: Simplify right side
    242,432.80x = 47,333,612,466.28
  5. Step 5: Solve for x
    x = 47,333,612,466.28/242,432.80
  6. Step 6: Final answer
    x = 195,244.26

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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.