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Finding the Fourth Proportional to 98,440.11, 135,774.84 and 74,242.09

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Solution

The fourth proportional to 98,440.11, 135,774.84 and 74,242.09 is: 102,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440.11 : 135,774.84 = 74,242.09 : x
  2. Step 2: Convert to fraction form
    98,440.11/135,774.84 = 74,242.09/x
  3. Step 3: Cross multiply
    98,440.11x = 135,774.84 × 74,242.09
  4. Step 4: Simplify right side
    98,440.11x = 10,080,207,273.17
  5. Step 5: Solve for x
    x = 10,080,207,273.17/98,440.11
  6. Step 6: Final answer
    x = 102,399.39

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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.