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Finding the Fourth Proportional to 230,105.80, 344,834.70 and 182,801.80

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Solution

The fourth proportional to 230,105.80, 344,834.70 and 182,801.80 is: 273,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,105.80 : 344,834.70 = 182,801.80 : x
  2. Step 2: Convert to fraction form
    230,105.80/344,834.70 = 182,801.80/x
  3. Step 3: Cross multiply
    230,105.80x = 344,834.70 × 182,801.80
  4. Step 4: Simplify right side
    230,105.80x = 63,036,403,862.46
  5. Step 5: Solve for x
    x = 63,036,403,862.46/230,105.80
  6. Step 6: Final answer
    x = 273,945.31

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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.