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Finding the Fourth Proportional to 283,077.23, 424,619.49 and 83,352.20

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Solution

The fourth proportional to 283,077.23, 424,619.49 and 83,352.20 is: 125,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,077.23 : 424,619.49 = 83,352.20 : x
  2. Step 2: Convert to fraction form
    283,077.23/424,619.49 = 83,352.20/x
  3. Step 3: Cross multiply
    283,077.23x = 424,619.49 × 83,352.20
  4. Step 4: Simplify right side
    283,077.23x = 35,392,968,654.38
  5. Step 5: Solve for x
    x = 35,392,968,654.38/283,077.23
  6. Step 6: Final answer
    x = 125,029.37

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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.