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Finding the Fourth Proportional to 167,073.13, 250,655.98 and 77,143.31

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Solution

The fourth proportional to 167,073.13, 250,655.98 and 77,143.31 is: 115,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,073.13 : 250,655.98 = 77,143.31 : x
  2. Step 2: Convert to fraction form
    167,073.13/250,655.98 = 77,143.31/x
  3. Step 3: Cross multiply
    167,073.13x = 250,655.98 × 77,143.31
  4. Step 4: Simplify right side
    167,073.13x = 19,336,431,968.49
  5. Step 5: Solve for x
    x = 19,336,431,968.49/167,073.13
  6. Step 6: Final answer
    x = 115,736.34

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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.