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Finding the Fourth Proportional to 96,777.80, 144,974.70 and 85,232.20

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Solution

The fourth proportional to 96,777.80, 144,974.70 and 85,232.20 is: 127,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,777.80 : 144,974.70 = 85,232.20 : x
  2. Step 2: Convert to fraction form
    96,777.80/144,974.70 = 85,232.20/x
  3. Step 3: Cross multiply
    96,777.80x = 144,974.70 × 85,232.20
  4. Step 4: Simplify right side
    96,777.80x = 12,356,512,625.34
  5. Step 5: Solve for x
    x = 12,356,512,625.34/96,777.80
  6. Step 6: Final answer
    x = 127,679.21

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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.