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Finding the Fourth Proportional to 164,478.15, 226,979.82 and 89,026.65

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Solution

The fourth proportional to 164,478.15, 226,979.82 and 89,026.65 is: 122,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,478.15 : 226,979.82 = 89,026.65 : x
  2. Step 2: Convert to fraction form
    164,478.15/226,979.82 = 89,026.65/x
  3. Step 3: Cross multiply
    164,478.15x = 226,979.82 × 89,026.65
  4. Step 4: Simplify right side
    164,478.15x = 20,207,252,992.20
  5. Step 5: Solve for x
    x = 20,207,252,992.20/164,478.15
  6. Step 6: Final answer
    x = 122,856.76

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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.