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Finding the Fourth Proportional to 230,458.48, 345,658.56 and 90,315.52

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Solution

The fourth proportional to 230,458.48, 345,658.56 and 90,315.52 is: 135,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,458.48 : 345,658.56 = 90,315.52 : x
  2. Step 2: Convert to fraction form
    230,458.48/345,658.56 = 90,315.52/x
  3. Step 3: Cross multiply
    230,458.48x = 345,658.56 × 90,315.52
  4. Step 4: Simplify right side
    230,458.48x = 31,218,332,588.85
  5. Step 5: Solve for x
    x = 31,218,332,588.85/230,458.48
  6. Step 6: Final answer
    x = 135,461.85

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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.