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Finding the Fourth Proportional to 283,238.72, 424,759.08 and 83,506.08

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Solution

The fourth proportional to 283,238.72, 424,759.08 and 83,506.08 is: 125,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,238.72 : 424,759.08 = 83,506.08 : x
  2. Step 2: Convert to fraction form
    283,238.72/424,759.08 = 83,506.08/x
  3. Step 3: Cross multiply
    283,238.72x = 424,759.08 × 83,506.08
  4. Step 4: Simplify right side
    283,238.72x = 35,469,965,715.21
  5. Step 5: Solve for x
    x = 35,469,965,715.21/283,238.72
  6. Step 6: Final answer
    x = 125,229.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.