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Finding the Fourth Proportional to 280,301.70, 420,202.56 and 102,767.34

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Solution

The fourth proportional to 280,301.70, 420,202.56 and 102,767.34 is: 154,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,301.70 : 420,202.56 = 102,767.34 : x
  2. Step 2: Convert to fraction form
    280,301.70/420,202.56 = 102,767.34/x
  3. Step 3: Cross multiply
    280,301.70x = 420,202.56 × 102,767.34
  4. Step 4: Simplify right side
    280,301.70x = 43,183,099,352.39
  5. Step 5: Solve for x
    x = 43,183,099,352.39/280,301.70
  6. Step 6: Final answer
    x = 154,059.36

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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.