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Finding the Fourth Proportional to 164,207.68, 226,606.26 and 88,756

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Solution

The fourth proportional to 164,207.68, 226,606.26 and 88,756 is: 122,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207.68 : 226,606.26 = 88,756 : x
  2. Step 2: Convert to fraction form
    164,207.68/226,606.26 = 88,756/x
  3. Step 3: Cross multiply
    164,207.68x = 226,606.26 × 88,756
  4. Step 4: Simplify right side
    164,207.68x = 20,112,665,212.56
  5. Step 5: Solve for x
    x = 20,112,665,212.56/164,207.68
  6. Step 6: Final answer
    x = 122,483.10

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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.