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Finding the Fourth Proportional to 278,125.38, 383,809.32 and 150,798.24

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Solution

The fourth proportional to 278,125.38, 383,809.32 and 150,798.24 is: 208,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,125.38 : 383,809.32 = 150,798.24 : x
  2. Step 2: Convert to fraction form
    278,125.38/383,809.32 = 150,798.24/x
  3. Step 3: Cross multiply
    278,125.38x = 383,809.32 × 150,798.24
  4. Step 4: Simplify right side
    278,125.38x = 57,877,769,951.60
  5. Step 5: Solve for x
    x = 57,877,769,951.60/278,125.38
  6. Step 6: Final answer
    x = 208,099.56

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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.