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Finding the Fourth Proportional to 133,793.19, 200,549.30 and 45,015.88

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Solution

The fourth proportional to 133,793.19, 200,549.30 and 45,015.88 is: 67,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793.19 : 200,549.30 = 45,015.88 : x
  2. Step 2: Convert to fraction form
    133,793.19/200,549.30 = 45,015.88/x
  3. Step 3: Cross multiply
    133,793.19x = 200,549.30 × 45,015.88
  4. Step 4: Simplify right side
    133,793.19x = 9,027,902,639.63
  5. Step 5: Solve for x
    x = 9,027,902,639.63/133,793.19
  6. Step 6: Final answer
    x = 67,476.55

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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.