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Finding the Fourth Proportional to 162,431.62, 224,149.16 and 89,829.77

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Solution

The fourth proportional to 162,431.62, 224,149.16 and 89,829.77 is: 123,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,431.62 : 224,149.16 = 89,829.77 : x
  2. Step 2: Convert to fraction form
    162,431.62/224,149.16 = 89,829.77/x
  3. Step 3: Cross multiply
    162,431.62x = 224,149.16 × 89,829.77
  4. Step 4: Simplify right side
    162,431.62x = 20,135,266,592.32
  5. Step 5: Solve for x
    x = 20,135,266,592.32/162,431.62
  6. Step 6: Final answer
    x = 123,961.50

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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.