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Finding the Fourth Proportional to 200,522.67, 276,721.35 and 109,877.90

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Solution

The fourth proportional to 200,522.67, 276,721.35 and 109,877.90 is: 151,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,522.67 : 276,721.35 = 109,877.90 : x
  2. Step 2: Convert to fraction form
    200,522.67/276,721.35 = 109,877.90/x
  3. Step 3: Cross multiply
    200,522.67x = 276,721.35 × 109,877.90
  4. Step 4: Simplify right side
    200,522.67x = 30,405,559,439.56
  5. Step 5: Solve for x
    x = 30,405,559,439.56/200,522.67
  6. Step 6: Final answer
    x = 151,631.53

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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.