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Finding the Fourth Proportional to 99,507.80, 137,215.52 and 76,850.48

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Solution

The fourth proportional to 99,507.80, 137,215.52 and 76,850.48 is: 105,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,507.80 : 137,215.52 = 76,850.48 : x
  2. Step 2: Convert to fraction form
    99,507.80/137,215.52 = 76,850.48/x
  3. Step 3: Cross multiply
    99,507.80x = 137,215.52 × 76,850.48
  4. Step 4: Simplify right side
    99,507.80x = 10,545,078,575.45
  5. Step 5: Solve for x
    x = 10,545,078,575.45/99,507.80
  6. Step 6: Final answer
    x = 105,972.38

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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.