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Finding the Fourth Proportional to 162,002.10, 243,003.15 and 150,192.30

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Solution

The fourth proportional to 162,002.10, 243,003.15 and 150,192.30 is: 225,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.10 : 243,003.15 = 150,192.30 : x
  2. Step 2: Convert to fraction form
    162,002.10/243,003.15 = 150,192.30/x
  3. Step 3: Cross multiply
    162,002.10x = 243,003.15 × 150,192.30
  4. Step 4: Simplify right side
    162,002.10x = 36,497,202,005.75
  5. Step 5: Solve for x
    x = 36,497,202,005.75/162,002.10
  6. Step 6: Final answer
    x = 225,288.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.