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Finding the Fourth Proportional to 223,531.68, 335,296.98 and 65,759.88

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Solution

The fourth proportional to 223,531.68, 335,296.98 and 65,759.88 is: 98,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,531.68 : 335,296.98 = 65,759.88 : x
  2. Step 2: Convert to fraction form
    223,531.68/335,296.98 = 65,759.88/x
  3. Step 3: Cross multiply
    223,531.68x = 335,296.98 × 65,759.88
  4. Step 4: Simplify right side
    223,531.68x = 22,049,089,169.16
  5. Step 5: Solve for x
    x = 22,049,089,169.16/223,531.68
  6. Step 6: Final answer
    x = 98,639.66

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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.