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Finding the Fourth Proportional to 194,279.52, 291,419.85 and 54,038.28

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Solution

The fourth proportional to 194,279.52, 291,419.85 and 54,038.28 is: 81,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,279.52 : 291,419.85 = 54,038.28 : x
  2. Step 2: Convert to fraction form
    194,279.52/291,419.85 = 54,038.28/x
  3. Step 3: Cross multiply
    194,279.52x = 291,419.85 × 54,038.28
  4. Step 4: Simplify right side
    194,279.52x = 15,747,827,451.86
  5. Step 5: Solve for x
    x = 15,747,827,451.86/194,279.52
  6. Step 6: Final answer
    x = 81,057.58

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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.