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Finding the Fourth Proportional to 181,207.60, 271,705.02 and 54,809.80

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Solution

The fourth proportional to 181,207.60, 271,705.02 and 54,809.80 is: 82,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,207.60 : 271,705.02 = 54,809.80 : x
  2. Step 2: Convert to fraction form
    181,207.60/271,705.02 = 54,809.80/x
  3. Step 3: Cross multiply
    181,207.60x = 271,705.02 × 54,809.80
  4. Step 4: Simplify right side
    181,207.60x = 14,892,097,805.20
  5. Step 5: Solve for x
    x = 14,892,097,805.20/181,207.60
  6. Step 6: Final answer
    x = 82,182.52

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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.