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Finding the Fourth Proportional to 223,081.78, 334,598.18 and 65,311.78

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Solution

The fourth proportional to 223,081.78, 334,598.18 and 65,311.78 is: 97,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,081.78 : 334,598.18 = 65,311.78 : x
  2. Step 2: Convert to fraction form
    223,081.78/334,598.18 = 65,311.78/x
  3. Step 3: Cross multiply
    223,081.78x = 334,598.18 × 65,311.78
  4. Step 4: Simplify right side
    223,081.78x = 21,853,202,720.56
  5. Step 5: Solve for x
    x = 21,853,202,720.56/223,081.78
  6. Step 6: Final answer
    x = 97,960.50

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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.