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Finding the Fourth Proportional to 151,591.50, 209,193.44 and 83,614.82

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Solution

The fourth proportional to 151,591.50, 209,193.44 and 83,614.82 is: 115,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,591.50 : 209,193.44 = 83,614.82 : x
  2. Step 2: Convert to fraction form
    151,591.50/209,193.44 = 83,614.82/x
  3. Step 3: Cross multiply
    151,591.50x = 209,193.44 × 83,614.82
  4. Step 4: Simplify right side
    151,591.50x = 17,491,670,366.74
  5. Step 5: Solve for x
    x = 17,491,670,366.74/151,591.50
  6. Step 6: Final answer
    x = 115,386.88

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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.