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Finding the Fourth Proportional to 209,908.18, 314,789.37 and 69,634

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Solution

The fourth proportional to 209,908.18, 314,789.37 and 69,634 is: 104,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,908.18 : 314,789.37 = 69,634 : x
  2. Step 2: Convert to fraction form
    209,908.18/314,789.37 = 69,634/x
  3. Step 3: Cross multiply
    209,908.18x = 314,789.37 × 69,634
  4. Step 4: Simplify right side
    209,908.18x = 21,920,042,990.58
  5. Step 5: Solve for x
    x = 21,920,042,990.58/209,908.18
  6. Step 6: Final answer
    x = 104,426.82

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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.