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Finding the Fourth Proportional to 200,105, 276,153.54 and 110,681

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Solution

The fourth proportional to 200,105, 276,153.54 and 110,681 is: 152,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,105 : 276,153.54 = 110,681 : x
  2. Step 2: Convert to fraction form
    200,105/276,153.54 = 110,681/x
  3. Step 3: Cross multiply
    200,105x = 276,153.54 × 110,681
  4. Step 4: Simplify right side
    200,105x = 30,564,949,960.74
  5. Step 5: Solve for x
    x = 30,564,949,960.74/200,105
  6. Step 6: Final answer
    x = 152,744.56

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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.