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Finding the Fourth Proportional to 189,853.56, 284,556.78 and 77,463.63

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Solution

The fourth proportional to 189,853.56, 284,556.78 and 77,463.63 is: 116,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.56 : 284,556.78 = 77,463.63 : x
  2. Step 2: Convert to fraction form
    189,853.56/284,556.78 = 77,463.63/x
  3. Step 3: Cross multiply
    189,853.56x = 284,556.78 × 77,463.63
  4. Step 4: Simplify right side
    189,853.56x = 22,042,801,119.91
  5. Step 5: Solve for x
    x = 22,042,801,119.91/189,853.56
  6. Step 6: Final answer
    x = 116,104.23

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1.5x scale

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.