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Finding the Fourth Proportional to 206,846.16, 285,430.88 and 116,197.20

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Solution

The fourth proportional to 206,846.16, 285,430.88 and 116,197.20 is: 160,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.16 : 285,430.88 = 116,197.20 : x
  2. Step 2: Convert to fraction form
    206,846.16/285,430.88 = 116,197.20/x
  3. Step 3: Cross multiply
    206,846.16x = 285,430.88 × 116,197.20
  4. Step 4: Simplify right side
    206,846.16x = 33,166,269,049.54
  5. Step 5: Solve for x
    x = 33,166,269,049.54/206,846.16
  6. Step 6: Final answer
    x = 160,342.69

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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.