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Finding the Fourth Proportional to 121,497.82, 167,663.19 and 71,230.30

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Solution

The fourth proportional to 121,497.82, 167,663.19 and 71,230.30 is: 98,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,497.82 : 167,663.19 = 71,230.30 : x
  2. Step 2: Convert to fraction form
    121,497.82/167,663.19 = 71,230.30/x
  3. Step 3: Cross multiply
    121,497.82x = 167,663.19 × 71,230.30
  4. Step 4: Simplify right side
    121,497.82x = 11,942,699,322.66
  5. Step 5: Solve for x
    x = 11,942,699,322.66/121,497.82
  6. Step 6: Final answer
    x = 98,295.59

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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.