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Finding the Fourth Proportional to 194,269.78, 291,410.14 and 54,028.41

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Solution

The fourth proportional to 194,269.78, 291,410.14 and 54,028.41 is: 81,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,269.78 : 291,410.14 = 54,028.41 : x
  2. Step 2: Convert to fraction form
    194,269.78/291,410.14 = 54,028.41/x
  3. Step 3: Cross multiply
    194,269.78x = 291,410.14 × 54,028.41
  4. Step 4: Simplify right side
    194,269.78x = 15,744,426,522.08
  5. Step 5: Solve for x
    x = 15,744,426,522.08/194,269.78
  6. Step 6: Final answer
    x = 81,044.14

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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.