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Finding the Fourth Proportional to 200,047.33, 276,056.49 and 114,024.97

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Solution

The fourth proportional to 200,047.33, 276,056.49 and 114,024.97 is: 157,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047.33 : 276,056.49 = 114,024.97 : x
  2. Step 2: Convert to fraction form
    200,047.33/276,056.49 = 114,024.97/x
  3. Step 3: Cross multiply
    200,047.33x = 276,056.49 × 114,024.97
  4. Step 4: Simplify right side
    200,047.33x = 31,477,332,990.56
  5. Step 5: Solve for x
    x = 31,477,332,990.56/200,047.33
  6. Step 6: Final answer
    x = 157,349.43

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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.