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Finding the Fourth Proportional to 223,419.26, 335,153.52 and 65,660

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Solution

The fourth proportional to 223,419.26, 335,153.52 and 65,660 is: 98,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,419.26 : 335,153.52 = 65,660 : x
  2. Step 2: Convert to fraction form
    223,419.26/335,153.52 = 65,660/x
  3. Step 3: Cross multiply
    223,419.26x = 335,153.52 × 65,660
  4. Step 4: Simplify right side
    223,419.26x = 22,006,180,123.20
  5. Step 5: Solve for x
    x = 22,006,180,123.20/223,419.26
  6. Step 6: Final answer
    x = 98,497.24

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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.