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Finding the Fourth Proportional to 121,781.97, 182,695.64 and 42,946.29

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Solution

The fourth proportional to 121,781.97, 182,695.64 and 42,946.29 is: 64,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,781.97 : 182,695.64 = 42,946.29 : x
  2. Step 2: Convert to fraction form
    121,781.97/182,695.64 = 42,946.29/x
  3. Step 3: Cross multiply
    121,781.97x = 182,695.64 × 42,946.29
  4. Step 4: Simplify right side
    121,781.97x = 7,846,099,722.44
  5. Step 5: Solve for x
    x = 7,846,099,722.44/121,781.97
  6. Step 6: Final answer
    x = 64,427.43

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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.