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Finding the Fourth Proportional to 201,200.10, 301,800.15 and 101,321.70

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Solution

The fourth proportional to 201,200.10, 301,800.15 and 101,321.70 is: 151,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.10 : 301,800.15 = 101,321.70 : x
  2. Step 2: Convert to fraction form
    201,200.10/301,800.15 = 101,321.70/x
  3. Step 3: Cross multiply
    201,200.10x = 301,800.15 × 101,321.70
  4. Step 4: Simplify right side
    201,200.10x = 30,578,904,258.26
  5. Step 5: Solve for x
    x = 30,578,904,258.26/201,200.10
  6. Step 6: Final answer
    x = 151,982.55

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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.