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Finding the Fourth Proportional to 283,229.19, 424,697.51 and 83,524.19

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Solution

The fourth proportional to 283,229.19, 424,697.51 and 83,524.19 is: 125,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,229.19 : 424,697.51 = 83,524.19 : x
  2. Step 2: Convert to fraction form
    283,229.19/424,697.51 = 83,524.19/x
  3. Step 3: Cross multiply
    283,229.19x = 424,697.51 × 83,524.19
  4. Step 4: Simplify right side
    283,229.19x = 35,472,513,603.09
  5. Step 5: Solve for x
    x = 35,472,513,603.09/283,229.19
  6. Step 6: Final answer
    x = 125,243.14

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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.