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Finding the Fourth Proportional to 169,698.30, 234,176.08 and 101,752.78

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Solution

The fourth proportional to 169,698.30, 234,176.08 and 101,752.78 is: 140,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,698.30 : 234,176.08 = 101,752.78 : x
  2. Step 2: Convert to fraction form
    169,698.30/234,176.08 = 101,752.78/x
  3. Step 3: Cross multiply
    169,698.30x = 234,176.08 × 101,752.78
  4. Step 4: Simplify right side
    169,698.30x = 23,828,065,469.86
  5. Step 5: Solve for x
    x = 23,828,065,469.86/169,698.30
  6. Step 6: Final answer
    x = 140,414.29

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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.