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Finding the Fourth Proportional to 169,761.69, 234,291.42 and 101,816.06

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Solution

The fourth proportional to 169,761.69, 234,291.42 and 101,816.06 is: 140,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,761.69 : 234,291.42 = 101,816.06 : x
  2. Step 2: Convert to fraction form
    169,761.69/234,291.42 = 101,816.06/x
  3. Step 3: Cross multiply
    169,761.69x = 234,291.42 × 101,816.06
  4. Step 4: Simplify right side
    169,761.69x = 23,854,628,104.75
  5. Step 5: Solve for x
    x = 23,854,628,104.75/169,761.69
  6. Step 6: Final answer
    x = 140,518.32

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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.