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Finding the Fourth Proportional to 167,364.48, 230,866.56 and 100,257.60

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Solution

The fourth proportional to 167,364.48, 230,866.56 and 100,257.60 is: 138,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,364.48 : 230,866.56 = 100,257.60 : x
  2. Step 2: Convert to fraction form
    167,364.48/230,866.56 = 100,257.60/x
  3. Step 3: Cross multiply
    167,364.48x = 230,866.56 × 100,257.60
  4. Step 4: Simplify right side
    167,364.48x = 23,146,127,225.86
  5. Step 5: Solve for x
    x = 23,146,127,225.86/167,364.48
  6. Step 6: Final answer
    x = 138,297.73

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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.