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Finding the Fourth Proportional to 278,890.28, 418,363.06 and 89,303.10

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Solution

The fourth proportional to 278,890.28, 418,363.06 and 89,303.10 is: 133,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,890.28 : 418,363.06 = 89,303.10 : x
  2. Step 2: Convert to fraction form
    278,890.28/418,363.06 = 89,303.10/x
  3. Step 3: Cross multiply
    278,890.28x = 418,363.06 × 89,303.10
  4. Step 4: Simplify right side
    278,890.28x = 37,361,118,183.49
  5. Step 5: Solve for x
    x = 37,361,118,183.49/278,890.28
  6. Step 6: Final answer
    x = 133,963.50

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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.