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Finding the Fourth Proportional to 223,538.50, 335,242.14 and 65,729.44

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Solution

The fourth proportional to 223,538.50, 335,242.14 and 65,729.44 is: 98,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,538.50 : 335,242.14 = 65,729.44 : x
  2. Step 2: Convert to fraction form
    223,538.50/335,242.14 = 65,729.44/x
  3. Step 3: Cross multiply
    223,538.50x = 335,242.14 × 65,729.44
  4. Step 4: Simplify right side
    223,538.50x = 22,035,278,126.60
  5. Step 5: Solve for x
    x = 22,035,278,126.60/223,538.50
  6. Step 6: Final answer
    x = 98,574.87

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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.