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Finding the Fourth Proportional to 99,695.20, 149,715.60 and 96,584.80

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Solution

The fourth proportional to 99,695.20, 149,715.60 and 96,584.80 is: 145,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695.20 : 149,715.60 = 96,584.80 : x
  2. Step 2: Convert to fraction form
    99,695.20/149,715.60 = 96,584.80/x
  3. Step 3: Cross multiply
    99,695.20x = 149,715.60 × 96,584.80
  4. Step 4: Simplify right side
    99,695.20x = 14,460,251,282.88
  5. Step 5: Solve for x
    x = 14,460,251,282.88/99,695.20
  6. Step 6: Final answer
    x = 145,044.61

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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.