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Finding the Fourth Proportional to 201,213.10, 301,819.65 and 101,334.70

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Solution

The fourth proportional to 201,213.10, 301,819.65 and 101,334.70 is: 152,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.10 : 301,819.65 = 101,334.70 : x
  2. Step 2: Convert to fraction form
    201,213.10/301,819.65 = 101,334.70/x
  3. Step 3: Cross multiply
    201,213.10x = 301,819.65 × 101,334.70
  4. Step 4: Simplify right side
    201,213.10x = 30,584,803,686.86
  5. Step 5: Solve for x
    x = 30,584,803,686.86/201,213.10
  6. Step 6: Final answer
    x = 152,002.05

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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.