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Finding the Fourth Proportional to 150,227.60, 207,314.09 and 83,159.60

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Solution

The fourth proportional to 150,227.60, 207,314.09 and 83,159.60 is: 114,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,227.60 : 207,314.09 = 83,159.60 : x
  2. Step 2: Convert to fraction form
    150,227.60/207,314.09 = 83,159.60/x
  3. Step 3: Cross multiply
    150,227.60x = 207,314.09 × 83,159.60
  4. Step 4: Simplify right side
    150,227.60x = 17,240,156,382.97
  5. Step 5: Solve for x
    x = 17,240,156,382.97/150,227.60
  6. Step 6: Final answer
    x = 114,760.25

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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.