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Finding the Fourth Proportional to 181,600.40, 272,227.80 and 141,597.20

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Solution

The fourth proportional to 181,600.40, 272,227.80 and 141,597.20 is: 212,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,600.40 : 272,227.80 = 141,597.20 : x
  2. Step 2: Convert to fraction form
    181,600.40/272,227.80 = 141,597.20/x
  3. Step 3: Cross multiply
    181,600.40x = 272,227.80 × 141,597.20
  4. Step 4: Simplify right side
    181,600.40x = 38,546,694,242.16
  5. Step 5: Solve for x
    x = 38,546,694,242.16/181,600.40
  6. Step 6: Final answer
    x = 212,261.06

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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.