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Finding the Fourth Proportional to 169,757, 234,286.26 and 102,689.48

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Solution

The fourth proportional to 169,757, 234,286.26 and 102,689.48 is: 141,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,757 : 234,286.26 = 102,689.48 : x
  2. Step 2: Convert to fraction form
    169,757/234,286.26 = 102,689.48/x
  3. Step 3: Cross multiply
    169,757x = 234,286.26 × 102,689.48
  4. Step 4: Simplify right side
    169,757x = 24,058,734,210.54
  5. Step 5: Solve for x
    x = 24,058,734,210.54/169,757
  6. Step 6: Final answer
    x = 141,724.55

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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.