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Finding the Fourth Proportional to 151,571.66, 209,170.22 and 83,591.33

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Solution

The fourth proportional to 151,571.66, 209,170.22 and 83,591.33 is: 115,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,571.66 : 209,170.22 = 83,591.33 : x
  2. Step 2: Convert to fraction form
    151,571.66/209,170.22 = 83,591.33/x
  3. Step 3: Cross multiply
    151,571.66x = 209,170.22 × 83,591.33
  4. Step 4: Simplify right side
    151,571.66x = 17,484,815,422.38
  5. Step 5: Solve for x
    x = 17,484,815,422.38/151,571.66
  6. Step 6: Final answer
    x = 115,356.76

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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.