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Finding the Fourth Proportional to 253,737.54, 350,195.10 and 146,286.57

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Solution

The fourth proportional to 253,737.54, 350,195.10 and 146,286.57 is: 201,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,737.54 : 350,195.10 = 146,286.57 : x
  2. Step 2: Convert to fraction form
    253,737.54/350,195.10 = 146,286.57/x
  3. Step 3: Cross multiply
    253,737.54x = 350,195.10 × 146,286.57
  4. Step 4: Simplify right side
    253,737.54x = 51,228,840,009.81
  5. Step 5: Solve for x
    x = 51,228,840,009.81/253,737.54
  6. Step 6: Final answer
    x = 201,896.97

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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.