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Finding the Fourth Proportional to 175,195.50, 241,770.06 and 99,744

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Solution

The fourth proportional to 175,195.50, 241,770.06 and 99,744 is: 137,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,195.50 : 241,770.06 = 99,744 : x
  2. Step 2: Convert to fraction form
    175,195.50/241,770.06 = 99,744/x
  3. Step 3: Cross multiply
    175,195.50x = 241,770.06 × 99,744
  4. Step 4: Simplify right side
    175,195.50x = 24,115,112,864.64
  5. Step 5: Solve for x
    x = 24,115,112,864.64/175,195.50
  6. Step 6: Final answer
    x = 137,646.87

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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.