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Finding the Fourth Proportional to 162,138.38, 223,753.16 and 89,546.15

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Solution

The fourth proportional to 162,138.38, 223,753.16 and 89,546.15 is: 123,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,138.38 : 223,753.16 = 89,546.15 : x
  2. Step 2: Convert to fraction form
    162,138.38/223,753.16 = 89,546.15/x
  3. Step 3: Cross multiply
    162,138.38x = 223,753.16 × 89,546.15
  4. Step 4: Simplify right side
    162,138.38x = 20,036,234,811.58
  5. Step 5: Solve for x
    x = 20,036,234,811.58/162,138.38
  6. Step 6: Final answer
    x = 123,574.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.