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Finding the Fourth Proportional to 201,658.28, 278,278.43 and 111,022.18

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Solution

The fourth proportional to 201,658.28, 278,278.43 and 111,022.18 is: 153,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.28 : 278,278.43 = 111,022.18 : x
  2. Step 2: Convert to fraction form
    201,658.28/278,278.43 = 111,022.18/x
  3. Step 3: Cross multiply
    201,658.28x = 278,278.43 × 111,022.18
  4. Step 4: Simplify right side
    201,658.28x = 30,895,076,694.77
  5. Step 5: Solve for x
    x = 30,895,076,694.77/201,658.28
  6. Step 6: Final answer
    x = 153,205.10

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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.