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Finding the Fourth Proportional to 150,050.68, 206,972.19 and 96,250.48

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Solution

The fourth proportional to 150,050.68, 206,972.19 and 96,250.48 is: 132,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,050.68 : 206,972.19 = 96,250.48 : x
  2. Step 2: Convert to fraction form
    150,050.68/206,972.19 = 96,250.48/x
  3. Step 3: Cross multiply
    150,050.68x = 206,972.19 × 96,250.48
  4. Step 4: Simplify right side
    150,050.68x = 19,921,172,634.15
  5. Step 5: Solve for x
    x = 19,921,172,634.15/150,050.68
  6. Step 6: Final answer
    x = 132,762.96

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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.