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Finding the Fourth Proportional to 194,574.20, 291,213.30 and 141,114.20

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Solution

The fourth proportional to 194,574.20, 291,213.30 and 141,114.20 is: 211,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,574.20 : 291,213.30 = 141,114.20 : x
  2. Step 2: Convert to fraction form
    194,574.20/291,213.30 = 141,114.20/x
  3. Step 3: Cross multiply
    194,574.20x = 291,213.30 × 141,114.20
  4. Step 4: Simplify right side
    194,574.20x = 41,094,331,858.86
  5. Step 5: Solve for x
    x = 41,094,331,858.86/194,574.20
  6. Step 6: Final answer
    x = 211,201.34

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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.