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Finding the Fourth Proportional to 201,112.20, 301,838.40 and 82,868.40

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Solution

The fourth proportional to 201,112.20, 301,838.40 and 82,868.40 is: 124,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.20 : 301,838.40 = 82,868.40 : x
  2. Step 2: Convert to fraction form
    201,112.20/301,838.40 = 82,868.40/x
  3. Step 3: Cross multiply
    201,112.20x = 301,838.40 × 82,868.40
  4. Step 4: Simplify right side
    201,112.20x = 25,012,865,266.56
  5. Step 5: Solve for x
    x = 25,012,865,266.56/201,112.20
  6. Step 6: Final answer
    x = 124,372.69

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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.