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Finding the Fourth Proportional to 206,737.74, 285,276.78 and 116,103.60

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Solution

The fourth proportional to 206,737.74, 285,276.78 and 116,103.60 is: 160,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.74 : 285,276.78 = 116,103.60 : x
  2. Step 2: Convert to fraction form
    206,737.74/285,276.78 = 116,103.60/x
  3. Step 3: Cross multiply
    206,737.74x = 285,276.78 × 116,103.60
  4. Step 4: Simplify right side
    206,737.74x = 33,121,661,154.41
  5. Step 5: Solve for x
    x = 33,121,661,154.41/206,737.74
  6. Step 6: Final answer
    x = 160,211.01

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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.