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Finding the Fourth Proportional to 360,907.82, 541,436.43 and 108,178.10

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Solution

The fourth proportional to 360,907.82, 541,436.43 and 108,178.10 is: 162,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907.82 : 541,436.43 = 108,178.10 : x
  2. Step 2: Convert to fraction form
    360,907.82/541,436.43 = 108,178.10/x
  3. Step 3: Cross multiply
    360,907.82x = 541,436.43 × 108,178.10
  4. Step 4: Simplify right side
    360,907.82x = 58,571,564,268.18
  5. Step 5: Solve for x
    x = 58,571,564,268.18/360,907.82
  6. Step 6: Final answer
    x = 162,289.54

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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.