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Finding the Fourth Proportional to 253,813.23, 350,205.41 and 144,882.81

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Solution

The fourth proportional to 253,813.23, 350,205.41 and 144,882.81 is: 199,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,813.23 : 350,205.41 = 144,882.81 : x
  2. Step 2: Convert to fraction form
    253,813.23/350,205.41 = 144,882.81/x
  3. Step 3: Cross multiply
    253,813.23x = 350,205.41 × 144,882.81
  4. Step 4: Simplify right side
    253,813.23x = 50,738,744,240.21
  5. Step 5: Solve for x
    x = 50,738,744,240.21/253,813.23
  6. Step 6: Final answer
    x = 199,905.83

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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.