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Finding the Fourth Proportional to 283,260.52, 424,932.29 and 83,554.93

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Solution

The fourth proportional to 283,260.52, 424,932.29 and 83,554.93 is: 125,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,260.52 : 424,932.29 = 83,554.93 : x
  2. Step 2: Convert to fraction form
    283,260.52/424,932.29 = 83,554.93/x
  3. Step 3: Cross multiply
    283,260.52x = 424,932.29 × 83,554.93
  4. Step 4: Simplify right side
    283,260.52x = 35,505,187,745.69
  5. Step 5: Solve for x
    x = 35,505,187,745.69/283,260.52
  6. Step 6: Final answer
    x = 125,344.64

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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.