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Finding the Fourth Proportional to 167,077.52, 250,662.54 and 77,147.68

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Solution

The fourth proportional to 167,077.52, 250,662.54 and 77,147.68 is: 115,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,077.52 : 250,662.54 = 77,147.68 : x
  2. Step 2: Convert to fraction form
    167,077.52/250,662.54 = 77,147.68/x
  3. Step 3: Cross multiply
    167,077.52x = 250,662.54 × 77,147.68
  4. Step 4: Simplify right side
    167,077.52x = 19,338,033,423.91
  5. Step 5: Solve for x
    x = 19,338,033,423.91/167,077.52
  6. Step 6: Final answer
    x = 115,742.88

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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.