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Finding the Fourth Proportional to 194,392.80, 291,135.52 and 149,664.48

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Solution

The fourth proportional to 194,392.80, 291,135.52 and 149,664.48 is: 224,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,392.80 : 291,135.52 = 149,664.48 : x
  2. Step 2: Convert to fraction form
    194,392.80/291,135.52 = 149,664.48/x
  3. Step 3: Cross multiply
    194,392.80x = 291,135.52 × 149,664.48
  4. Step 4: Simplify right side
    194,392.80x = 43,572,646,210.33
  5. Step 5: Solve for x
    x = 43,572,646,210.33/194,392.80
  6. Step 6: Final answer
    x = 224,147.43

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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.