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Finding the Fourth Proportional to 194,178.20, 291,267.30 and 75,853.40

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Solution

The fourth proportional to 194,178.20, 291,267.30 and 75,853.40 is: 113,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,178.20 : 291,267.30 = 75,853.40 : x
  2. Step 2: Convert to fraction form
    194,178.20/291,267.30 = 75,853.40/x
  3. Step 3: Cross multiply
    194,178.20x = 291,267.30 × 75,853.40
  4. Step 4: Simplify right side
    194,178.20x = 22,093,615,013.82
  5. Step 5: Solve for x
    x = 22,093,615,013.82/194,178.20
  6. Step 6: Final answer
    x = 113,780.10

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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.