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Finding the Fourth Proportional to 283,432.50, 425,207.07 and 117,220.50

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Solution

The fourth proportional to 283,432.50, 425,207.07 and 117,220.50 is: 175,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,432.50 : 425,207.07 = 117,220.50 : x
  2. Step 2: Convert to fraction form
    283,432.50/425,207.07 = 117,220.50/x
  3. Step 3: Cross multiply
    283,432.50x = 425,207.07 × 117,220.50
  4. Step 4: Simplify right side
    283,432.50x = 49,842,985,348.94
  5. Step 5: Solve for x
    x = 49,842,985,348.94/283,432.50
  6. Step 6: Final answer
    x = 175,854.87

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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.