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Finding the Fourth Proportional to 289,604.08, 434,299.56 and 100,016.20

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Solution

The fourth proportional to 289,604.08, 434,299.56 and 100,016.20 is: 149,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,604.08 : 434,299.56 = 100,016.20 : x
  2. Step 2: Convert to fraction form
    289,604.08/434,299.56 = 100,016.20/x
  3. Step 3: Cross multiply
    289,604.08x = 434,299.56 × 100,016.20
  4. Step 4: Simplify right side
    289,604.08x = 43,436,991,652.87
  5. Step 5: Solve for x
    x = 43,436,991,652.87/289,604.08
  6. Step 6: Final answer
    x = 149,987.50

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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.