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Finding the Fourth Proportional to 192,356.58, 265,443.82 and 106,311.12

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Solution

The fourth proportional to 192,356.58, 265,443.82 and 106,311.12 is: 146,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,356.58 : 265,443.82 = 106,311.12 : x
  2. Step 2: Convert to fraction form
    192,356.58/265,443.82 = 106,311.12/x
  3. Step 3: Cross multiply
    192,356.58x = 265,443.82 × 106,311.12
  4. Step 4: Simplify right side
    192,356.58x = 28,219,629,801.28
  5. Step 5: Solve for x
    x = 28,219,629,801.28/192,356.58
  6. Step 6: Final answer
    x = 146,704.78

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1.5x scale

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.