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Finding the Fourth Proportional to 200,381.96, 276,521.75 and 114,339.38

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Solution

The fourth proportional to 200,381.96, 276,521.75 and 114,339.38 is: 157,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,381.96 : 276,521.75 = 114,339.38 : x
  2. Step 2: Convert to fraction form
    200,381.96/276,521.75 = 114,339.38/x
  3. Step 3: Cross multiply
    200,381.96x = 276,521.75 × 114,339.38
  4. Step 4: Simplify right side
    200,381.96x = 31,617,324,820.01
  5. Step 5: Solve for x
    x = 31,617,324,820.01/200,381.96
  6. Step 6: Final answer
    x = 157,785.29

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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.