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Finding the Fourth Proportional to 194,257.64, 291,390.30 and 54,014.28

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Solution

The fourth proportional to 194,257.64, 291,390.30 and 54,014.28 is: 81,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,257.64 : 291,390.30 = 54,014.28 : x
  2. Step 2: Convert to fraction form
    194,257.64/291,390.30 = 54,014.28/x
  3. Step 3: Cross multiply
    194,257.64x = 291,390.30 × 54,014.28
  4. Step 4: Simplify right side
    194,257.64x = 15,739,237,253.48
  5. Step 5: Solve for x
    x = 15,739,237,253.48/194,257.64
  6. Step 6: Final answer
    x = 81,022.49

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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.