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Finding the Fourth Proportional to 230,177.82, 344,908.62 and 87,945.51

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Solution

The fourth proportional to 230,177.82, 344,908.62 and 87,945.51 is: 131,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,177.82 : 344,908.62 = 87,945.51 : x
  2. Step 2: Convert to fraction form
    230,177.82/344,908.62 = 87,945.51/x
  3. Step 3: Cross multiply
    230,177.82x = 344,908.62 × 87,945.51
  4. Step 4: Simplify right side
    230,177.82x = 30,333,164,489.30
  5. Step 5: Solve for x
    x = 30,333,164,489.30/230,177.82
  6. Step 6: Final answer
    x = 131,781.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.