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Finding the Fourth Proportional to 282,236.94, 389,486.88 and 154,912.23

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Solution

The fourth proportional to 282,236.94, 389,486.88 and 154,912.23 is: 213,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,236.94 : 389,486.88 = 154,912.23 : x
  2. Step 2: Convert to fraction form
    282,236.94/389,486.88 = 154,912.23/x
  3. Step 3: Cross multiply
    282,236.94x = 389,486.88 × 154,912.23
  4. Step 4: Simplify right side
    282,236.94x = 60,336,281,136.54
  5. Step 5: Solve for x
    x = 60,336,281,136.54/282,236.94
  6. Step 6: Final answer
    x = 213,778.82

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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.