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Finding the Fourth Proportional to 200,671.71, 276,939.40 and 111,247.71

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Solution

The fourth proportional to 200,671.71, 276,939.40 and 111,247.71 is: 153,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,671.71 : 276,939.40 = 111,247.71 : x
  2. Step 2: Convert to fraction form
    200,671.71/276,939.40 = 111,247.71/x
  3. Step 3: Cross multiply
    200,671.71x = 276,939.40 × 111,247.71
  4. Step 4: Simplify right side
    200,671.71x = 30,808,874,822.13
  5. Step 5: Solve for x
    x = 30,808,874,822.13/200,671.71
  6. Step 6: Final answer
    x = 153,528.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.