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Finding the Fourth Proportional to 151,069.66, 208,471.96 and 83,086.65

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Solution

The fourth proportional to 151,069.66, 208,471.96 and 83,086.65 is: 114,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,069.66 : 208,471.96 = 83,086.65 : x
  2. Step 2: Convert to fraction form
    151,069.66/208,471.96 = 83,086.65/x
  3. Step 3: Cross multiply
    151,069.66x = 208,471.96 × 83,086.65
  4. Step 4: Simplify right side
    151,069.66x = 17,321,236,775.33
  5. Step 5: Solve for x
    x = 17,321,236,775.33/151,069.66
  6. Step 6: Final answer
    x = 114,657.28

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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.