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Finding the Fourth Proportional to 278,853.50, 418,290.06 and 89,319.62

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Solution

The fourth proportional to 278,853.50, 418,290.06 and 89,319.62 is: 133,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,853.50 : 418,290.06 = 89,319.62 : x
  2. Step 2: Convert to fraction form
    278,853.50/418,290.06 = 89,319.62/x
  3. Step 3: Cross multiply
    278,853.50x = 418,290.06 × 89,319.62
  4. Step 4: Simplify right side
    278,853.50x = 37,361,509,208.98
  5. Step 5: Solve for x
    x = 37,361,509,208.98/278,853.50
  6. Step 6: Final answer
    x = 133,982.57

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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.