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Finding the Fourth Proportional to 181,170.80, 270,536.24 and 147,956.80

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Solution

The fourth proportional to 181,170.80, 270,536.24 and 147,956.80 is: 220,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170.80 : 270,536.24 = 147,956.80 : x
  2. Step 2: Convert to fraction form
    181,170.80/270,536.24 = 147,956.80/x
  3. Step 3: Cross multiply
    181,170.80x = 270,536.24 × 147,956.80
  4. Step 4: Simplify right side
    181,170.80x = 40,027,676,354.43
  5. Step 5: Solve for x
    x = 40,027,676,354.43/181,170.80
  6. Step 6: Final answer
    x = 220,938.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.