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Finding the Fourth Proportional to 133,681.32, 200,518.20 and 44,939.88

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Solution

The fourth proportional to 133,681.32, 200,518.20 and 44,939.88 is: 67,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.32 : 200,518.20 = 44,939.88 : x
  2. Step 2: Convert to fraction form
    133,681.32/200,518.20 = 44,939.88/x
  3. Step 3: Cross multiply
    133,681.32x = 200,518.20 × 44,939.88
  4. Step 4: Simplify right side
    133,681.32x = 9,011,263,845.82
  5. Step 5: Solve for x
    x = 9,011,263,845.82/133,681.32
  6. Step 6: Final answer
    x = 67,408.55

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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.