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Finding the Fourth Proportional to 192,649.92, 265,963.68 and 132,256.32

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Solution

The fourth proportional to 192,649.92, 265,963.68 and 132,256.32 is: 182,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,649.92 : 265,963.68 = 132,256.32 : x
  2. Step 2: Convert to fraction form
    192,649.92/265,963.68 = 132,256.32/x
  3. Step 3: Cross multiply
    192,649.92x = 265,963.68 × 132,256.32
  4. Step 4: Simplify right side
    192,649.92x = 35,175,377,570.46
  5. Step 5: Solve for x
    x = 35,175,377,570.46/192,649.92
  6. Step 6: Final answer
    x = 182,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.