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Finding the Fourth Proportional to 133,977.66, 200,778.84 and 100,676.50

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Solution

The fourth proportional to 133,977.66, 200,778.84 and 100,676.50 is: 150,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977.66 : 200,778.84 = 100,676.50 : x
  2. Step 2: Convert to fraction form
    133,977.66/200,778.84 = 100,676.50/x
  3. Step 3: Cross multiply
    133,977.66x = 200,778.84 × 100,676.50
  4. Step 4: Simplify right side
    133,977.66x = 20,213,710,885.26
  5. Step 5: Solve for x
    x = 20,213,710,885.26/133,977.66
  6. Step 6: Final answer
    x = 150,873.74

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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.