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Finding the Fourth Proportional to 99,765.75, 137,675.52 and 57,320.94

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Solution

The fourth proportional to 99,765.75, 137,675.52 and 57,320.94 is: 79,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.75 : 137,675.52 = 57,320.94 : x
  2. Step 2: Convert to fraction form
    99,765.75/137,675.52 = 57,320.94/x
  3. Step 3: Cross multiply
    99,765.75x = 137,675.52 × 57,320.94
  4. Step 4: Simplify right side
    99,765.75x = 7,891,690,221.39
  5. Step 5: Solve for x
    x = 7,891,690,221.39/99,765.75
  6. Step 6: Final answer
    x = 79,102.20

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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.