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Finding the Fourth Proportional to 178,206.75, 266,976.41 and 89,356.23

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Solution

The fourth proportional to 178,206.75, 266,976.41 and 89,356.23 is: 133,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,206.75 : 266,976.41 = 89,356.23 : x
  2. Step 2: Convert to fraction form
    178,206.75/266,976.41 = 89,356.23/x
  3. Step 3: Cross multiply
    178,206.75x = 266,976.41 × 89,356.23
  4. Step 4: Simplify right side
    178,206.75x = 23,856,005,049.75
  5. Step 5: Solve for x
    x = 23,856,005,049.75/178,206.75
  6. Step 6: Final answer
    x = 133,867.01

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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.