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Finding the Fourth Proportional to 283,239.72, 424,760.58 and 83,507.08

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Solution

The fourth proportional to 283,239.72, 424,760.58 and 83,507.08 is: 125,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,239.72 : 424,760.58 = 83,507.08 : x
  2. Step 2: Convert to fraction form
    283,239.72/424,760.58 = 83,507.08/x
  3. Step 3: Cross multiply
    283,239.72x = 424,760.58 × 83,507.08
  4. Step 4: Simplify right side
    283,239.72x = 35,470,515,734.91
  5. Step 5: Solve for x
    x = 35,470,515,734.91/283,239.72
  6. Step 6: Final answer
    x = 125,231.43

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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.