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Finding the Fourth Proportional to 150,096.47, 207,132.84 and 89,702.46

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Solution

The fourth proportional to 150,096.47, 207,132.84 and 89,702.46 is: 123,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096.47 : 207,132.84 = 89,702.46 : x
  2. Step 2: Convert to fraction form
    150,096.47/207,132.84 = 89,702.46/x
  3. Step 3: Cross multiply
    150,096.47x = 207,132.84 × 89,702.46
  4. Step 4: Simplify right side
    150,096.47x = 18,580,325,294.79
  5. Step 5: Solve for x
    x = 18,580,325,294.79/150,096.47
  6. Step 6: Final answer
    x = 123,789.23

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1.5x scale

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.