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Finding the Fourth Proportional to 192,624.63, 265,822.41 and 106,589.85

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Solution

The fourth proportional to 192,624.63, 265,822.41 and 106,589.85 is: 147,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,624.63 : 265,822.41 = 106,589.85 : x
  2. Step 2: Convert to fraction form
    192,624.63/265,822.41 = 106,589.85/x
  3. Step 3: Cross multiply
    192,624.63x = 265,822.41 × 106,589.85
  4. Step 4: Simplify right side
    192,624.63x = 28,333,970,808.54
  5. Step 5: Solve for x
    x = 28,333,970,808.54/192,624.63
  6. Step 6: Final answer
    x = 147,094.23

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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.