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Finding the Fourth Proportional to 201,213.10, 301,856.10 and 101,121.40

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Solution

The fourth proportional to 201,213.10, 301,856.10 and 101,121.40 is: 151,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.10 : 301,856.10 = 101,121.40 : x
  2. Step 2: Convert to fraction form
    201,213.10/301,856.10 = 101,121.40/x
  3. Step 3: Cross multiply
    201,213.10x = 301,856.10 × 101,121.40
  4. Step 4: Simplify right side
    201,213.10x = 30,524,111,430.54
  5. Step 5: Solve for x
    x = 30,524,111,430.54/201,213.10
  6. Step 6: Final answer
    x = 151,700.42

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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.