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Finding the Fourth Proportional to 165,121, 227,867.52 and 108,633.76

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Solution

The fourth proportional to 165,121, 227,867.52 and 108,633.76 is: 149,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,121 : 227,867.52 = 108,633.76 : x
  2. Step 2: Convert to fraction form
    165,121/227,867.52 = 108,633.76/x
  3. Step 3: Cross multiply
    165,121x = 227,867.52 × 108,633.76
  4. Step 4: Simplify right side
    165,121x = 24,754,105,479.48
  5. Step 5: Solve for x
    x = 24,754,105,479.48/165,121
  6. Step 6: Final answer
    x = 149,914.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.