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Finding the Fourth Proportional to 99,925.84, 149,914.44 and 82,186.96

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Solution

The fourth proportional to 99,925.84, 149,914.44 and 82,186.96 is: 123,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925.84 : 149,914.44 = 82,186.96 : x
  2. Step 2: Convert to fraction form
    99,925.84/149,914.44 = 82,186.96/x
  3. Step 3: Cross multiply
    99,925.84x = 149,914.44 × 82,186.96
  4. Step 4: Simplify right side
    99,925.84x = 12,321,012,083.70
  5. Step 5: Solve for x
    x = 12,321,012,083.70/99,925.84
  6. Step 6: Final answer
    x = 123,301.56

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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.