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Finding the Fourth Proportional to 169,412.74, 233,786.01 and 104,864.83

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Solution

The fourth proportional to 169,412.74, 233,786.01 and 104,864.83 is: 144,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,412.74 : 233,786.01 = 104,864.83 : x
  2. Step 2: Convert to fraction form
    169,412.74/233,786.01 = 104,864.83/x
  3. Step 3: Cross multiply
    169,412.74x = 233,786.01 × 104,864.83
  4. Step 4: Simplify right side
    169,412.74x = 24,515,930,195.03
  5. Step 5: Solve for x
    x = 24,515,930,195.03/169,412.74
  6. Step 6: Final answer
    x = 144,711.25

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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.