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Finding the Fourth Proportional to 167,224.72, 230,878.20 and 103,630

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Solution

The fourth proportional to 167,224.72, 230,878.20 and 103,630 is: 143,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,224.72 : 230,878.20 = 103,630 : x
  2. Step 2: Convert to fraction form
    167,224.72/230,878.20 = 103,630/x
  3. Step 3: Cross multiply
    167,224.72x = 230,878.20 × 103,630
  4. Step 4: Simplify right side
    167,224.72x = 23,925,907,866
  5. Step 5: Solve for x
    x = 23,925,907,866/167,224.72
  6. Step 6: Final answer
    x = 143,076.38

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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.