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Finding the Fourth Proportional to 162,002.80, 243,004.20 and 151,505.20

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Solution

The fourth proportional to 162,002.80, 243,004.20 and 151,505.20 is: 227,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.80 : 243,004.20 = 151,505.20 : x
  2. Step 2: Convert to fraction form
    162,002.80/243,004.20 = 151,505.20/x
  3. Step 3: Cross multiply
    162,002.80x = 243,004.20 × 151,505.20
  4. Step 4: Simplify right side
    162,002.80x = 36,816,399,921.84
  5. Step 5: Solve for x
    x = 36,816,399,921.84/162,002.80
  6. Step 6: Final answer
    x = 227,257.80

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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.