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Finding the Fourth Proportional to 150,282.88, 207,387.84 and 83,213.44

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Solution

The fourth proportional to 150,282.88, 207,387.84 and 83,213.44 is: 114,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,282.88 : 207,387.84 = 83,213.44 : x
  2. Step 2: Convert to fraction form
    150,282.88/207,387.84 = 83,213.44/x
  3. Step 3: Cross multiply
    150,282.88x = 207,387.84 × 83,213.44
  4. Step 4: Simplify right side
    150,282.88x = 17,257,455,580.57
  5. Step 5: Solve for x
    x = 17,257,455,580.57/150,282.88
  6. Step 6: Final answer
    x = 114,833.14

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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.