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Finding the Fourth Proportional to 99,634.40, 149,232.90 and 86,512.40

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Solution

The fourth proportional to 99,634.40, 149,232.90 and 86,512.40 is: 129,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,634.40 : 149,232.90 = 86,512.40 : x
  2. Step 2: Convert to fraction form
    99,634.40/149,232.90 = 86,512.40/x
  3. Step 3: Cross multiply
    99,634.40x = 149,232.90 × 86,512.40
  4. Step 4: Simplify right side
    99,634.40x = 12,910,496,337.96
  5. Step 5: Solve for x
    x = 12,910,496,337.96/99,634.40
  6. Step 6: Final answer
    x = 129,578.70

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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.