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Finding the Fourth Proportional to 205,425.66, 308,138.34 and 77,366.10

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Solution

The fourth proportional to 205,425.66, 308,138.34 and 77,366.10 is: 116,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.66 : 308,138.34 = 77,366.10 : x
  2. Step 2: Convert to fraction form
    205,425.66/308,138.34 = 77,366.10/x
  3. Step 3: Cross multiply
    205,425.66x = 308,138.34 × 77,366.10
  4. Step 4: Simplify right side
    205,425.66x = 23,839,461,626.27
  5. Step 5: Solve for x
    x = 23,839,461,626.27/205,425.66
  6. Step 6: Final answer
    x = 116,049.09

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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.