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Finding the Fourth Proportional to 169,645.94, 234,005.49 and 109,296.50

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Solution

The fourth proportional to 169,645.94, 234,005.49 and 109,296.50 is: 150,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,645.94 : 234,005.49 = 109,296.50 : x
  2. Step 2: Convert to fraction form
    169,645.94/234,005.49 = 109,296.50/x
  3. Step 3: Cross multiply
    169,645.94x = 234,005.49 × 109,296.50
  4. Step 4: Simplify right side
    169,645.94x = 25,575,981,037.79
  5. Step 5: Solve for x
    x = 25,575,981,037.79/169,645.94
  6. Step 6: Final answer
    x = 150,760.94

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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.