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Finding the Fourth Proportional to 230,282.94, 345,470.97 and 97,163.52

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Solution

The fourth proportional to 230,282.94, 345,470.97 and 97,163.52 is: 145,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,282.94 : 345,470.97 = 97,163.52 : x
  2. Step 2: Convert to fraction form
    230,282.94/345,470.97 = 97,163.52/x
  3. Step 3: Cross multiply
    230,282.94x = 345,470.97 × 97,163.52
  4. Step 4: Simplify right side
    230,282.94x = 33,567,175,503.01
  5. Step 5: Solve for x
    x = 33,567,175,503.01/230,282.94
  6. Step 6: Final answer
    x = 145,764.93

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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.