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Finding the Fourth Proportional to 133,681.53, 200,523.43 and 106,961.30

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Solution

The fourth proportional to 133,681.53, 200,523.43 and 106,961.30 is: 160,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.53 : 200,523.43 = 106,961.30 : x
  2. Step 2: Convert to fraction form
    133,681.53/200,523.43 = 106,961.30/x
  3. Step 3: Cross multiply
    133,681.53x = 200,523.43 × 106,961.30
  4. Step 4: Simplify right side
    133,681.53x = 21,448,246,753.26
  5. Step 5: Solve for x
    x = 21,448,246,753.26/133,681.53
  6. Step 6: Final answer
    x = 160,442.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.