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Finding the Fourth Proportional to 167,403.74, 250,892.06 and 78,461.28

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Solution

The fourth proportional to 167,403.74, 250,892.06 and 78,461.28 is: 117,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,403.74 : 250,892.06 = 78,461.28 : x
  2. Step 2: Convert to fraction form
    167,403.74/250,892.06 = 78,461.28/x
  3. Step 3: Cross multiply
    167,403.74x = 250,892.06 × 78,461.28
  4. Step 4: Simplify right side
    167,403.74x = 19,685,311,777.13
  5. Step 5: Solve for x
    x = 19,685,311,777.13/167,403.74
  6. Step 6: Final answer
    x = 117,591.83

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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.