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Finding the Fourth Proportional to 204,103.76, 306,161.40 and 56,359.76

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Solution

The fourth proportional to 204,103.76, 306,161.40 and 56,359.76 is: 84,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,103.76 : 306,161.40 = 56,359.76 : x
  2. Step 2: Convert to fraction form
    204,103.76/306,161.40 = 56,359.76/x
  3. Step 3: Cross multiply
    204,103.76x = 306,161.40 × 56,359.76
  4. Step 4: Simplify right side
    204,103.76x = 17,255,183,025.26
  5. Step 5: Solve for x
    x = 17,255,183,025.26/204,103.76
  6. Step 6: Final answer
    x = 84,541.23

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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.