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Finding the Fourth Proportional to 194,331, 291,496.50 and 54,093.27

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Solution

The fourth proportional to 194,331, 291,496.50 and 54,093.27 is: 81,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,331 : 291,496.50 = 54,093.27 : x
  2. Step 2: Convert to fraction form
    194,331/291,496.50 = 54,093.27/x
  3. Step 3: Cross multiply
    194,331x = 291,496.50 × 54,093.27
  4. Step 4: Simplify right side
    194,331x = 15,767,998,878.56
  5. Step 5: Solve for x
    x = 15,767,998,878.56/194,331
  6. Step 6: Final answer
    x = 81,139.91

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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.