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Finding the Fourth Proportional to 201,382.27, 277,902.99 and 109,499.56

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Solution

The fourth proportional to 201,382.27, 277,902.99 and 109,499.56 is: 151,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.27 : 277,902.99 = 109,499.56 : x
  2. Step 2: Convert to fraction form
    201,382.27/277,902.99 = 109,499.56/x
  3. Step 3: Cross multiply
    201,382.27x = 277,902.99 × 109,499.56
  4. Step 4: Simplify right side
    201,382.27x = 30,430,254,432.93
  5. Step 5: Solve for x
    x = 30,430,254,432.93/201,382.27
  6. Step 6: Final answer
    x = 151,106.92

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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.