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Finding the Fourth Proportional to 138,311.70, 207,467.55 and 85,823.70

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Solution

The fourth proportional to 138,311.70, 207,467.55 and 85,823.70 is: 128,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,311.70 : 207,467.55 = 85,823.70 : x
  2. Step 2: Convert to fraction form
    138,311.70/207,467.55 = 85,823.70/x
  3. Step 3: Cross multiply
    138,311.70x = 207,467.55 × 85,823.70
  4. Step 4: Simplify right side
    138,311.70x = 17,805,632,770.94
  5. Step 5: Solve for x
    x = 17,805,632,770.94/138,311.70
  6. Step 6: Final answer
    x = 128,735.55

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1.5x scale

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.