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Finding the Fourth Proportional to 112,908.92, 169,309.74 and 65,538.62

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Solution

The fourth proportional to 112,908.92, 169,309.74 and 65,538.62 is: 98,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,908.92 : 169,309.74 = 65,538.62 : x
  2. Step 2: Convert to fraction form
    112,908.92/169,309.74 = 65,538.62/x
  3. Step 3: Cross multiply
    112,908.92x = 169,309.74 × 65,538.62
  4. Step 4: Simplify right side
    112,908.92x = 11,096,327,601.69
  5. Step 5: Solve for x
    x = 11,096,327,601.69/112,908.92
  6. Step 6: Final answer
    x = 98,276.81

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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.