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Finding the Fourth Proportional to 204,947.20, 307,420.80 and 144,812.80

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Solution

The fourth proportional to 204,947.20, 307,420.80 and 144,812.80 is: 217,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,947.20 : 307,420.80 = 144,812.80 : x
  2. Step 2: Convert to fraction form
    204,947.20/307,420.80 = 144,812.80/x
  3. Step 3: Cross multiply
    204,947.20x = 307,420.80 × 144,812.80
  4. Step 4: Simplify right side
    204,947.20x = 44,518,466,826.24
  5. Step 5: Solve for x
    x = 44,518,466,826.24/204,947.20
  6. Step 6: Final answer
    x = 217,219.20

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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.