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Finding the Fourth Proportional to 263,382.84, 363,474.54 and 150,203.16

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Solution

The fourth proportional to 263,382.84, 363,474.54 and 150,203.16 is: 207,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,382.84 : 363,474.54 = 150,203.16 : x
  2. Step 2: Convert to fraction form
    263,382.84/363,474.54 = 150,203.16/x
  3. Step 3: Cross multiply
    263,382.84x = 363,474.54 × 150,203.16
  4. Step 4: Simplify right side
    263,382.84x = 54,595,024,487.55
  5. Step 5: Solve for x
    x = 54,595,024,487.55/263,382.84
  6. Step 6: Final answer
    x = 207,283.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.