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Finding the Fourth Proportional to 164,215.92, 226,617.78 and 88,764.48

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Solution

The fourth proportional to 164,215.92, 226,617.78 and 88,764.48 is: 122,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,215.92 : 226,617.78 = 88,764.48 : x
  2. Step 2: Convert to fraction form
    164,215.92/226,617.78 = 88,764.48/x
  3. Step 3: Cross multiply
    164,215.92x = 226,617.78 × 88,764.48
  4. Step 4: Simplify right side
    164,215.92x = 20,115,609,400.45
  5. Step 5: Solve for x
    x = 20,115,609,400.45/164,215.92
  6. Step 6: Final answer
    x = 122,494.88

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1.5x scale

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.