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Finding the Fourth Proportional to 169,169.84, 233,348.79 and 108,819.16

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Solution

The fourth proportional to 169,169.84, 233,348.79 and 108,819.16 is: 150,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,169.84 : 233,348.79 = 108,819.16 : x
  2. Step 2: Convert to fraction form
    169,169.84/233,348.79 = 108,819.16/x
  3. Step 3: Cross multiply
    169,169.84x = 233,348.79 × 108,819.16
  4. Step 4: Simplify right side
    169,169.84x = 25,392,819,314.82
  5. Step 5: Solve for x
    x = 25,392,819,314.82/169,169.84
  6. Step 6: Final answer
    x = 150,102.52

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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.