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Finding the Fourth Proportional to 165,301.62, 247,938.38 and 65,434.66

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Solution

The fourth proportional to 165,301.62, 247,938.38 and 65,434.66 is: 98,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,301.62 : 247,938.38 = 65,434.66 : x
  2. Step 2: Convert to fraction form
    165,301.62/247,938.38 = 65,434.66/x
  3. Step 3: Cross multiply
    165,301.62x = 247,938.38 × 65,434.66
  4. Step 4: Simplify right side
    165,301.62x = 16,223,763,596.25
  5. Step 5: Solve for x
    x = 16,223,763,596.25/165,301.62
  6. Step 6: Final answer
    x = 98,146.43

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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.