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Finding the Fourth Proportional to 194,508.54, 291,768.21 and 54,267.03

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Solution

The fourth proportional to 194,508.54, 291,768.21 and 54,267.03 is: 81,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,508.54 : 291,768.21 = 54,267.03 : x
  2. Step 2: Convert to fraction form
    194,508.54/291,768.21 = 54,267.03/x
  3. Step 3: Cross multiply
    194,508.54x = 291,768.21 × 54,267.03
  4. Step 4: Simplify right side
    194,508.54x = 15,833,394,205.12
  5. Step 5: Solve for x
    x = 15,833,394,205.12/194,508.54
  6. Step 6: Final answer
    x = 81,402.05

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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.