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Finding the Fourth Proportional to 100,694.60, 151,037.10 and 34,128.20

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Solution

The fourth proportional to 100,694.60, 151,037.10 and 34,128.20 is: 51,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.60 : 151,037.10 = 34,128.20 : x
  2. Step 2: Convert to fraction form
    100,694.60/151,037.10 = 34,128.20/x
  3. Step 3: Cross multiply
    100,694.60x = 151,037.10 × 34,128.20
  4. Step 4: Simplify right side
    100,694.60x = 5,154,624,356.22
  5. Step 5: Solve for x
    x = 5,154,624,356.22/100,694.60
  6. Step 6: Final answer
    x = 51,190.67

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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.