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Finding the Fourth Proportional to 303,109.44, 454,664.10 and 103,429.82

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Solution

The fourth proportional to 303,109.44, 454,664.10 and 103,429.82 is: 155,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,109.44 : 454,664.10 = 103,429.82 : x
  2. Step 2: Convert to fraction form
    303,109.44/454,664.10 = 103,429.82/x
  3. Step 3: Cross multiply
    303,109.44x = 454,664.10 × 103,429.82
  4. Step 4: Simplify right side
    303,109.44x = 47,025,826,023.46
  5. Step 5: Solve for x
    x = 47,025,826,023.46/303,109.44
  6. Step 6: Final answer
    x = 155,144.71

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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.