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Finding the Fourth Proportional to 223,132.32, 334,701.21 and 65,363.96

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Solution

The fourth proportional to 223,132.32, 334,701.21 and 65,363.96 is: 98,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,132.32 : 334,701.21 = 65,363.96 : x
  2. Step 2: Convert to fraction form
    223,132.32/334,701.21 = 65,363.96/x
  3. Step 3: Cross multiply
    223,132.32x = 334,701.21 × 65,363.96
  4. Step 4: Simplify right side
    223,132.32x = 21,877,397,584.26
  5. Step 5: Solve for x
    x = 21,877,397,584.26/223,132.32
  6. Step 6: Final answer
    x = 98,046.74

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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.