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Finding the Fourth Proportional to 280,856.80, 421,285.20 and 202,124.80

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Solution

The fourth proportional to 280,856.80, 421,285.20 and 202,124.80 is: 303,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,856.80 : 421,285.20 = 202,124.80 : x
  2. Step 2: Convert to fraction form
    280,856.80/421,285.20 = 202,124.80/x
  3. Step 3: Cross multiply
    280,856.80x = 421,285.20 × 202,124.80
  4. Step 4: Simplify right side
    280,856.80x = 85,152,186,792.96
  5. Step 5: Solve for x
    x = 85,152,186,792.96/280,856.80
  6. Step 6: Final answer
    x = 303,187.20

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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.