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Finding the Fourth Proportional to 133,098.90, 199,648.35 and 85,859.70

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Solution

The fourth proportional to 133,098.90, 199,648.35 and 85,859.70 is: 128,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.90 : 199,648.35 = 85,859.70 : x
  2. Step 2: Convert to fraction form
    133,098.90/199,648.35 = 85,859.70/x
  3. Step 3: Cross multiply
    133,098.90x = 199,648.35 × 85,859.70
  4. Step 4: Simplify right side
    133,098.90x = 17,141,747,436.50
  5. Step 5: Solve for x
    x = 17,141,747,436.50/133,098.90
  6. Step 6: Final answer
    x = 128,789.55

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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.