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Finding the Fourth Proportional to 194,493.10, 291,278.85 and 131,824.30

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Solution

The fourth proportional to 194,493.10, 291,278.85 and 131,824.30 is: 197,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,493.10 : 291,278.85 = 131,824.30 : x
  2. Step 2: Convert to fraction form
    194,493.10/291,278.85 = 131,824.30/x
  3. Step 3: Cross multiply
    194,493.10x = 291,278.85 × 131,824.30
  4. Step 4: Simplify right side
    194,493.10x = 38,397,630,506.06
  5. Step 5: Solve for x
    x = 38,397,630,506.06/194,493.10
  6. Step 6: Final answer
    x = 197,424.13

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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.