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Finding the Fourth Proportional to 361,402.60, 542,168.70 and 151,061.80

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Solution

The fourth proportional to 361,402.60, 542,168.70 and 151,061.80 is: 226,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,402.60 : 542,168.70 = 151,061.80 : x
  2. Step 2: Convert to fraction form
    361,402.60/542,168.70 = 151,061.80/x
  3. Step 3: Cross multiply
    361,402.60x = 542,168.70 × 151,061.80
  4. Step 4: Simplify right side
    361,402.60x = 81,900,979,725.66
  5. Step 5: Solve for x
    x = 81,900,979,725.66/361,402.60
  6. Step 6: Final answer
    x = 226,619.79

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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.