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Finding the Fourth Proportional to 204,015.40, 306,023.10 and 164,649.40

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Solution

The fourth proportional to 204,015.40, 306,023.10 and 164,649.40 is: 246,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015.40 : 306,023.10 = 164,649.40 : x
  2. Step 2: Convert to fraction form
    204,015.40/306,023.10 = 164,649.40/x
  3. Step 3: Cross multiply
    204,015.40x = 306,023.10 × 164,649.40
  4. Step 4: Simplify right side
    204,015.40x = 50,386,519,801.14
  5. Step 5: Solve for x
    x = 50,386,519,801.14/204,015.40
  6. Step 6: Final answer
    x = 246,974.10

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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.