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Finding the Fourth Proportional to 206,814.56, 285,393.12 and 116,174.34

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Solution

The fourth proportional to 206,814.56, 285,393.12 and 116,174.34 is: 160,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.56 : 285,393.12 = 116,174.34 : x
  2. Step 2: Convert to fraction form
    206,814.56/285,393.12 = 116,174.34/x
  3. Step 3: Cross multiply
    206,814.56x = 285,393.12 × 116,174.34
  4. Step 4: Simplify right side
    206,814.56x = 33,155,357,356.54
  5. Step 5: Solve for x
    x = 33,155,357,356.54/206,814.56
  6. Step 6: Final answer
    x = 160,314.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.