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Finding the Fourth Proportional to 200,755.74, 300,871.17 and 150,440.34

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Solution

The fourth proportional to 200,755.74, 300,871.17 and 150,440.34 is: 225,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.74 : 300,871.17 = 150,440.34 : x
  2. Step 2: Convert to fraction form
    200,755.74/300,871.17 = 150,440.34/x
  3. Step 3: Cross multiply
    200,755.74x = 300,871.17 × 150,440.34
  4. Step 4: Simplify right side
    200,755.74x = 45,263,161,111.00
  5. Step 5: Solve for x
    x = 45,263,161,111.00/200,755.74
  6. Step 6: Final answer
    x = 225,463.85

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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.