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Finding the Fourth Proportional to 169,782.47, 234,283.68 and 101,786.81

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Solution

The fourth proportional to 169,782.47, 234,283.68 and 101,786.81 is: 140,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782.47 : 234,283.68 = 101,786.81 : x
  2. Step 2: Convert to fraction form
    169,782.47/234,283.68 = 101,786.81/x
  3. Step 3: Cross multiply
    169,782.47x = 234,283.68 × 101,786.81
  4. Step 4: Simplify right side
    169,782.47x = 23,846,987,250.84
  5. Step 5: Solve for x
    x = 23,846,987,250.84/169,782.47
  6. Step 6: Final answer
    x = 140,456.13

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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.