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Finding the Fourth Proportional to 204,002.40, 305,420.40 and 183,007.20

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Solution

The fourth proportional to 204,002.40, 305,420.40 and 183,007.20 is: 273,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.40 : 305,420.40 = 183,007.20 : x
  2. Step 2: Convert to fraction form
    204,002.40/305,420.40 = 183,007.20/x
  3. Step 3: Cross multiply
    204,002.40x = 305,420.40 × 183,007.20
  4. Step 4: Simplify right side
    204,002.40x = 55,894,132,226.88
  5. Step 5: Solve for x
    x = 55,894,132,226.88/204,002.40
  6. Step 6: Final answer
    x = 273,987.62

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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.