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Finding the Fourth Proportional to 133,964.60, 200,774.10 and 102,644.60

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Solution

The fourth proportional to 133,964.60, 200,774.10 and 102,644.60 is: 153,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,964.60 : 200,774.10 = 102,644.60 : x
  2. Step 2: Convert to fraction form
    133,964.60/200,774.10 = 102,644.60/x
  3. Step 3: Cross multiply
    133,964.60x = 200,774.10 × 102,644.60
  4. Step 4: Simplify right side
    133,964.60x = 20,608,377,184.86
  5. Step 5: Solve for x
    x = 20,608,377,184.86/133,964.60
  6. Step 6: Final answer
    x = 153,834.50

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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.