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Finding the Fourth Proportional to 99,204, 136,901.90 and 53,882.74

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Solution

The fourth proportional to 99,204, 136,901.90 and 53,882.74 is: 74,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204 : 136,901.90 = 53,882.74 : x
  2. Step 2: Convert to fraction form
    99,204/136,901.90 = 53,882.74/x
  3. Step 3: Cross multiply
    99,204x = 136,901.90 × 53,882.74
  4. Step 4: Simplify right side
    99,204x = 7,376,649,483.21
  5. Step 5: Solve for x
    x = 7,376,649,483.21/99,204
  6. Step 6: Final answer
    x = 74,358.39

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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.