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Finding the Fourth Proportional to 194,334, 291,501 and 54,096.27

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Solution

The fourth proportional to 194,334, 291,501 and 54,096.27 is: 81,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,334 : 291,501 = 54,096.27 : x
  2. Step 2: Convert to fraction form
    194,334/291,501 = 54,096.27/x
  3. Step 3: Cross multiply
    194,334x = 291,501 × 54,096.27
  4. Step 4: Simplify right side
    194,334x = 15,769,116,801.27
  5. Step 5: Solve for x
    x = 15,769,116,801.27/194,334
  6. Step 6: Final answer
    x = 81,144.41

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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.