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Finding the Fourth Proportional to 283,551.12, 425,387.70 and 141,472.80

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Solution

The fourth proportional to 283,551.12, 425,387.70 and 141,472.80 is: 212,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,551.12 : 425,387.70 = 141,472.80 : x
  2. Step 2: Convert to fraction form
    283,551.12/425,387.70 = 141,472.80/x
  3. Step 3: Cross multiply
    283,551.12x = 425,387.70 × 141,472.80
  4. Step 4: Simplify right side
    283,551.12x = 60,180,789,004.56
  5. Step 5: Solve for x
    x = 60,180,789,004.56/283,551.12
  6. Step 6: Final answer
    x = 212,239.64

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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.