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Finding the Fourth Proportional to 204,459.87, 282,134.84 and 150,773.79

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Solution

The fourth proportional to 204,459.87, 282,134.84 and 150,773.79 is: 208,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,459.87 : 282,134.84 = 150,773.79 : x
  2. Step 2: Convert to fraction form
    204,459.87/282,134.84 = 150,773.79/x
  3. Step 3: Cross multiply
    204,459.87x = 282,134.84 × 150,773.79
  4. Step 4: Simplify right side
    204,459.87x = 42,538,538,363.97
  5. Step 5: Solve for x
    x = 42,538,538,363.97/204,459.87
  6. Step 6: Final answer
    x = 208,053.24

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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.