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Finding the Fourth Proportional to 280,865.80, 421,298.70 and 202,133.80

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Solution

The fourth proportional to 280,865.80, 421,298.70 and 202,133.80 is: 303,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,865.80 : 421,298.70 = 202,133.80 : x
  2. Step 2: Convert to fraction form
    280,865.80/421,298.70 = 202,133.80/x
  3. Step 3: Cross multiply
    280,865.80x = 421,298.70 × 202,133.80
  4. Step 4: Simplify right side
    280,865.80x = 85,158,707,166.06
  5. Step 5: Solve for x
    x = 85,158,707,166.06/280,865.80
  6. Step 6: Final answer
    x = 303,200.70

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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.