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Finding the Fourth Proportional to 283,452.28, 424,886.74 and 125,755

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Solution

The fourth proportional to 283,452.28, 424,886.74 and 125,755 is: 188,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,452.28 : 424,886.74 = 125,755 : x
  2. Step 2: Convert to fraction form
    283,452.28/424,886.74 = 125,755/x
  3. Step 3: Cross multiply
    283,452.28x = 424,886.74 × 125,755
  4. Step 4: Simplify right side
    283,452.28x = 53,431,631,988.70
  5. Step 5: Solve for x
    x = 53,431,631,988.70/283,452.28
  6. Step 6: Final answer
    x = 188,503.09

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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.