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Finding the Fourth Proportional to 99,678.38, 137,556.16 and 54,966.38

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Solution

The fourth proportional to 99,678.38, 137,556.16 and 54,966.38 is: 75,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,678.38 : 137,556.16 = 54,966.38 : x
  2. Step 2: Convert to fraction form
    99,678.38/137,556.16 = 54,966.38/x
  3. Step 3: Cross multiply
    99,678.38x = 137,556.16 × 54,966.38
  4. Step 4: Simplify right side
    99,678.38x = 7,560,963,336.70
  5. Step 5: Solve for x
    x = 7,560,963,336.70/99,678.38
  6. Step 6: Final answer
    x = 75,853.60

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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.