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Finding the Fourth Proportional to 278,156.60, 417,234.90 and 167,564.60

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Solution

The fourth proportional to 278,156.60, 417,234.90 and 167,564.60 is: 251,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,156.60 : 417,234.90 = 167,564.60 : x
  2. Step 2: Convert to fraction form
    278,156.60/417,234.90 = 167,564.60/x
  3. Step 3: Cross multiply
    278,156.60x = 417,234.90 × 167,564.60
  4. Step 4: Simplify right side
    278,156.60x = 69,913,799,124.54
  5. Step 5: Solve for x
    x = 69,913,799,124.54/278,156.60
  6. Step 6: Final answer
    x = 251,346.90

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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.