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Finding the Fourth Proportional to 192,460.40, 288,107.40 and 145,415.60

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Solution

The fourth proportional to 192,460.40, 288,107.40 and 145,415.60 is: 217,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,460.40 : 288,107.40 = 145,415.60 : x
  2. Step 2: Convert to fraction form
    192,460.40/288,107.40 = 145,415.60/x
  3. Step 3: Cross multiply
    192,460.40x = 288,107.40 × 145,415.60
  4. Step 4: Simplify right side
    192,460.40x = 41,895,310,435.44
  5. Step 5: Solve for x
    x = 41,895,310,435.44/192,460.40
  6. Step 6: Final answer
    x = 217,682.76

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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.