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Finding the Fourth Proportional to 164,443.66, 226,932.25 and 88,992.16

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Solution

The fourth proportional to 164,443.66, 226,932.25 and 88,992.16 is: 122,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,443.66 : 226,932.25 = 88,992.16 : x
  2. Step 2: Convert to fraction form
    164,443.66/226,932.25 = 88,992.16/x
  3. Step 3: Cross multiply
    164,443.66x = 226,932.25 × 88,992.16
  4. Step 4: Simplify right side
    164,443.66x = 20,195,191,101.16
  5. Step 5: Solve for x
    x = 20,195,191,101.16/164,443.66
  6. Step 6: Final answer
    x = 122,809.18

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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.