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Finding the Fourth Proportional to 206,833.53, 285,399.18 and 116,172.12

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Solution

The fourth proportional to 206,833.53, 285,399.18 and 116,172.12 is: 160,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,833.53 : 285,399.18 = 116,172.12 : x
  2. Step 2: Convert to fraction form
    206,833.53/285,399.18 = 116,172.12/x
  3. Step 3: Cross multiply
    206,833.53x = 285,399.18 × 116,172.12
  4. Step 4: Simplify right side
    206,833.53x = 33,155,427,786.86
  5. Step 5: Solve for x
    x = 33,155,427,786.86/206,833.53
  6. Step 6: Final answer
    x = 160,300.06

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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.