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Finding the Fourth Proportional to 98,143.38, 135,360.45 and 82,775.70

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Solution

The fourth proportional to 98,143.38, 135,360.45 and 82,775.70 is: 114,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.38 : 135,360.45 = 82,775.70 : x
  2. Step 2: Convert to fraction form
    98,143.38/135,360.45 = 82,775.70/x
  3. Step 3: Cross multiply
    98,143.38x = 135,360.45 × 82,775.70
  4. Step 4: Simplify right side
    98,143.38x = 11,204,556,001.07
  5. Step 5: Solve for x
    x = 11,204,556,001.07/98,143.38
  6. Step 6: Final answer
    x = 114,165.17

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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.