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Finding the Fourth Proportional to 200,104, 276,152.16 and 110,680

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Solution

The fourth proportional to 200,104, 276,152.16 and 110,680 is: 152,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,104 : 276,152.16 = 110,680 : x
  2. Step 2: Convert to fraction form
    200,104/276,152.16 = 110,680/x
  3. Step 3: Cross multiply
    200,104x = 276,152.16 × 110,680
  4. Step 4: Simplify right side
    200,104x = 30,564,521,068.80
  5. Step 5: Solve for x
    x = 30,564,521,068.80/200,104
  6. Step 6: Final answer
    x = 152,743.18

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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.