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Finding the Fourth Proportional to 144,956.48, 200,042.10 and 108,593.51

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Solution

The fourth proportional to 144,956.48, 200,042.10 and 108,593.51 is: 149,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.48 : 200,042.10 = 108,593.51 : x
  2. Step 2: Convert to fraction form
    144,956.48/200,042.10 = 108,593.51/x
  3. Step 3: Cross multiply
    144,956.48x = 200,042.10 × 108,593.51
  4. Step 4: Simplify right side
    144,956.48x = 21,723,272,786.56
  5. Step 5: Solve for x
    x = 21,723,272,786.56/144,956.48
  6. Step 6: Final answer
    x = 149,860.66

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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.