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Finding the Fourth Proportional to 247,538, 371,247.44 and 114,290.24

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Solution

The fourth proportional to 247,538, 371,247.44 and 114,290.24 is: 171,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,538 : 371,247.44 = 114,290.24 : x
  2. Step 2: Convert to fraction form
    247,538/371,247.44 = 114,290.24/x
  3. Step 3: Cross multiply
    247,538x = 371,247.44 × 114,290.24
  4. Step 4: Simplify right side
    247,538x = 42,429,959,016.99
  5. Step 5: Solve for x
    x = 42,429,959,016.99/247,538
  6. Step 6: Final answer
    x = 171,407.86

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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.