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Finding the Fourth Proportional to 266,765.64, 400,197.74 and 84,442.34

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Solution

The fourth proportional to 266,765.64, 400,197.74 and 84,442.34 is: 126,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,765.64 : 400,197.74 = 84,442.34 : x
  2. Step 2: Convert to fraction form
    266,765.64/400,197.74 = 84,442.34/x
  3. Step 3: Cross multiply
    266,765.64x = 400,197.74 × 84,442.34
  4. Step 4: Simplify right side
    266,765.64x = 33,793,631,205.11
  5. Step 5: Solve for x
    x = 33,793,631,205.11/266,765.64
  6. Step 6: Final answer
    x = 126,679.10

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