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Finding the Fourth Proportional to 162,884.46, 244,410.29 and 77,591.91

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Solution

The fourth proportional to 162,884.46, 244,410.29 and 77,591.91 is: 116,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,884.46 : 244,410.29 = 77,591.91 : x
  2. Step 2: Convert to fraction form
    162,884.46/244,410.29 = 77,591.91/x
  3. Step 3: Cross multiply
    162,884.46x = 244,410.29 × 77,591.91
  4. Step 4: Simplify right side
    162,884.46x = 18,964,261,224.75
  5. Step 5: Solve for x
    x = 18,964,261,224.75/162,884.46
  6. Step 6: Final answer
    x = 116,427.69

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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.