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Finding the Fourth Proportional to 278,122.40, 383,806.68 and 157,263.68

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Solution

The fourth proportional to 278,122.40, 383,806.68 and 157,263.68 is: 217,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,122.40 : 383,806.68 = 157,263.68 : x
  2. Step 2: Convert to fraction form
    278,122.40/383,806.68 = 157,263.68/x
  3. Step 3: Cross multiply
    278,122.40x = 383,806.68 × 157,263.68
  4. Step 4: Simplify right side
    278,122.40x = 60,358,850,905.38
  5. Step 5: Solve for x
    x = 60,358,850,905.38/278,122.40
  6. Step 6: Final answer
    x = 217,022.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.