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Finding the Fourth Proportional to 281,149.60, 421,918.80 and 202,320.40

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Solution

The fourth proportional to 281,149.60, 421,918.80 and 202,320.40 is: 303,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,149.60 : 421,918.80 = 202,320.40 : x
  2. Step 2: Convert to fraction form
    281,149.60/421,918.80 = 202,320.40/x
  3. Step 3: Cross multiply
    281,149.60x = 421,918.80 × 202,320.40
  4. Step 4: Simplify right side
    281,149.60x = 85,362,780,383.52
  5. Step 5: Solve for x
    x = 85,362,780,383.52/281,149.60
  6. Step 6: Final answer
    x = 303,620.49

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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.