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Finding the Fourth Proportional to 229,086, 316,276.92 and 149,736.24

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Solution

The fourth proportional to 229,086, 316,276.92 and 149,736.24 is: 206,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,086 : 316,276.92 = 149,736.24 : x
  2. Step 2: Convert to fraction form
    229,086/316,276.92 = 149,736.24/x
  3. Step 3: Cross multiply
    229,086x = 316,276.92 × 149,736.24
  4. Step 4: Simplify right side
    229,086x = 47,358,116,799.58
  5. Step 5: Solve for x
    x = 47,358,116,799.58/229,086
  6. Step 6: Final answer
    x = 206,726.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.