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Finding the Fourth Proportional to 280,097.80, 420,200.70 and 120,171.40

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Solution

The fourth proportional to 280,097.80, 420,200.70 and 120,171.40 is: 180,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,097.80 : 420,200.70 = 120,171.40 : x
  2. Step 2: Convert to fraction form
    280,097.80/420,200.70 = 120,171.40/x
  3. Step 3: Cross multiply
    280,097.80x = 420,200.70 × 120,171.40
  4. Step 4: Simplify right side
    280,097.80x = 50,496,106,399.98
  5. Step 5: Solve for x
    x = 50,496,106,399.98/280,097.80
  6. Step 6: Final answer
    x = 180,280.27

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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.