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Finding the Fourth Proportional to 164,766.38, 227,377.66 and 89,314.88

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Solution

The fourth proportional to 164,766.38, 227,377.66 and 89,314.88 is: 123,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,766.38 : 227,377.66 = 89,314.88 : x
  2. Step 2: Convert to fraction form
    164,766.38/227,377.66 = 89,314.88/x
  3. Step 3: Cross multiply
    164,766.38x = 227,377.66 × 89,314.88
  4. Step 4: Simplify right side
    164,766.38x = 20,308,208,417.58
  5. Step 5: Solve for x
    x = 20,308,208,417.58/164,766.38
  6. Step 6: Final answer
    x = 123,254.56

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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.