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Finding the Fourth Proportional to 280,823.80, 421,235.70 and 156,164.80

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Solution

The fourth proportional to 280,823.80, 421,235.70 and 156,164.80 is: 234,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,823.80 : 421,235.70 = 156,164.80 : x
  2. Step 2: Convert to fraction form
    280,823.80/421,235.70 = 156,164.80/x
  3. Step 3: Cross multiply
    280,823.80x = 421,235.70 × 156,164.80
  4. Step 4: Simplify right side
    280,823.80x = 65,782,188,843.36
  5. Step 5: Solve for x
    x = 65,782,188,843.36/280,823.80
  6. Step 6: Final answer
    x = 234,247.20

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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.