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Finding the Fourth Proportional to 141,755.20, 212,632.80 and 119,204.80

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Solution

The fourth proportional to 141,755.20, 212,632.80 and 119,204.80 is: 178,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,755.20 : 212,632.80 = 119,204.80 : x
  2. Step 2: Convert to fraction form
    141,755.20/212,632.80 = 119,204.80/x
  3. Step 3: Cross multiply
    141,755.20x = 212,632.80 × 119,204.80
  4. Step 4: Simplify right side
    141,755.20x = 25,346,850,397.44
  5. Step 5: Solve for x
    x = 25,346,850,397.44/141,755.20
  6. Step 6: Final answer
    x = 178,807.20

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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.