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Finding the Fourth Proportional to 304,163.60, 456,202.20 and 93,822.80

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Solution

The fourth proportional to 304,163.60, 456,202.20 and 93,822.80 is: 140,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,163.60 : 456,202.20 = 93,822.80 : x
  2. Step 2: Convert to fraction form
    304,163.60/456,202.20 = 93,822.80/x
  3. Step 3: Cross multiply
    304,163.60x = 456,202.20 × 93,822.80
  4. Step 4: Simplify right side
    304,163.60x = 42,802,167,770.16
  5. Step 5: Solve for x
    x = 42,802,167,770.16/304,163.60
  6. Step 6: Final answer
    x = 140,720.87

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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.