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Finding the Fourth Proportional to 202,820.30, 304,230.45 and 84,452.30

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Solution

The fourth proportional to 202,820.30, 304,230.45 and 84,452.30 is: 126,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820.30 : 304,230.45 = 84,452.30 : x
  2. Step 2: Convert to fraction form
    202,820.30/304,230.45 = 84,452.30/x
  3. Step 3: Cross multiply
    202,820.30x = 304,230.45 × 84,452.30
  4. Step 4: Simplify right side
    202,820.30x = 25,692,961,232.54
  5. Step 5: Solve for x
    x = 25,692,961,232.54/202,820.30
  6. Step 6: Final answer
    x = 126,678.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.