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Finding the Fourth Proportional to 100,002.60, 150,003.90 and 100,002.60

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Solution

The fourth proportional to 100,002.60, 150,003.90 and 100,002.60 is: 150,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.60 : 150,003.90 = 100,002.60 : x
  2. Step 2: Convert to fraction form
    100,002.60/150,003.90 = 100,002.60/x
  3. Step 3: Cross multiply
    100,002.60x = 150,003.90 × 100,002.60
  4. Step 4: Simplify right side
    100,002.60x = 15,000,780,010.14
  5. Step 5: Solve for x
    x = 15,000,780,010.14/100,002.60
  6. Step 6: Final answer
    x = 150,003.90

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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.