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Finding the Fourth Proportional to 157,198.20, 235,649.07 and 78,237.78

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Solution

The fourth proportional to 157,198.20, 235,649.07 and 78,237.78 is: 117,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,198.20 : 235,649.07 = 78,237.78 : x
  2. Step 2: Convert to fraction form
    157,198.20/235,649.07 = 78,237.78/x
  3. Step 3: Cross multiply
    157,198.20x = 235,649.07 × 78,237.78
  4. Step 4: Simplify right side
    157,198.20x = 18,436,660,095.86
  5. Step 5: Solve for x
    x = 18,436,660,095.86/157,198.20
  6. Step 6: Final answer
    x = 117,282.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.