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Finding the Fourth Proportional to 194,255.72, 291,400.08 and 54,014.34

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Solution

The fourth proportional to 194,255.72, 291,400.08 and 54,014.34 is: 81,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,255.72 : 291,400.08 = 54,014.34 : x
  2. Step 2: Convert to fraction form
    194,255.72/291,400.08 = 54,014.34/x
  3. Step 3: Cross multiply
    194,255.72x = 291,400.08 × 54,014.34
  4. Step 4: Simplify right side
    194,255.72x = 15,739,784,191.17
  5. Step 5: Solve for x
    x = 15,739,784,191.17/194,255.72
  6. Step 6: Final answer
    x = 81,026.10

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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.