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Finding the Fourth Proportional to 164,656, 227,229.24 and 100,956.88

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Solution

The fourth proportional to 164,656, 227,229.24 and 100,956.88 is: 139,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,656 : 227,229.24 = 100,956.88 : x
  2. Step 2: Convert to fraction form
    164,656/227,229.24 = 100,956.88/x
  3. Step 3: Cross multiply
    164,656x = 227,229.24 × 100,956.88
  4. Step 4: Simplify right side
    164,656x = 22,940,355,115.17
  5. Step 5: Solve for x
    x = 22,940,355,115.17/164,656
  6. Step 6: Final answer
    x = 139,322.92

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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.