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Finding the Fourth Proportional to 204,451.70, 282,151.50 and 123,833.76

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Solution

The fourth proportional to 204,451.70, 282,151.50 and 123,833.76 is: 170,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,451.70 : 282,151.50 = 123,833.76 : x
  2. Step 2: Convert to fraction form
    204,451.70/282,151.50 = 123,833.76/x
  3. Step 3: Cross multiply
    204,451.70x = 282,151.50 × 123,833.76
  4. Step 4: Simplify right side
    204,451.70x = 34,939,881,134.64
  5. Step 5: Solve for x
    x = 34,939,881,134.64/204,451.70
  6. Step 6: Final answer
    x = 170,895.53

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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.