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Finding the Fourth Proportional to 150,125.96, 207,149.46 and 83,045

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Solution

The fourth proportional to 150,125.96, 207,149.46 and 83,045 is: 114,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,125.96 : 207,149.46 = 83,045 : x
  2. Step 2: Convert to fraction form
    150,125.96/207,149.46 = 83,045/x
  3. Step 3: Cross multiply
    150,125.96x = 207,149.46 × 83,045
  4. Step 4: Simplify right side
    150,125.96x = 17,202,726,905.70
  5. Step 5: Solve for x
    x = 17,202,726,905.70/150,125.96
  6. Step 6: Final answer
    x = 114,588.62

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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.