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Finding the Fourth Proportional to 135,992.32, 203,842.64 and 65,775.04

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Solution

The fourth proportional to 135,992.32, 203,842.64 and 65,775.04 is: 98,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,992.32 : 203,842.64 = 65,775.04 : x
  2. Step 2: Convert to fraction form
    135,992.32/203,842.64 = 65,775.04/x
  3. Step 3: Cross multiply
    135,992.32x = 203,842.64 × 65,775.04
  4. Step 4: Simplify right side
    135,992.32x = 13,407,757,799.71
  5. Step 5: Solve for x
    x = 13,407,757,799.71/135,992.32
  6. Step 6: Final answer
    x = 98,592.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.