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Finding the Fourth Proportional to 110,536.92, 152,518.14 and 65,212.56

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Solution

The fourth proportional to 110,536.92, 152,518.14 and 65,212.56 is: 89,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536.92 : 152,518.14 = 65,212.56 : x
  2. Step 2: Convert to fraction form
    110,536.92/152,518.14 = 65,212.56/x
  3. Step 3: Cross multiply
    110,536.92x = 152,518.14 × 65,212.56
  4. Step 4: Simplify right side
    110,536.92x = 9,946,098,355.84
  5. Step 5: Solve for x
    x = 9,946,098,355.84/110,536.92
  6. Step 6: Final answer
    x = 89,979.88

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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.