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Finding the Fourth Proportional to 229,207.65, 344,030.31 and 140,634.15

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Solution

The fourth proportional to 229,207.65, 344,030.31 and 140,634.15 is: 211,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,207.65 : 344,030.31 = 140,634.15 : x
  2. Step 2: Convert to fraction form
    229,207.65/344,030.31 = 140,634.15/x
  3. Step 3: Cross multiply
    229,207.65x = 344,030.31 × 140,634.15
  4. Step 4: Simplify right side
    229,207.65x = 48,382,410,221.09
  5. Step 5: Solve for x
    x = 48,382,410,221.09/229,207.65
  6. Step 6: Final answer
    x = 211,085.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.