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Finding the Fourth Proportional to 192,624, 265,821.55 and 106,589.22

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Solution

The fourth proportional to 192,624, 265,821.55 and 106,589.22 is: 147,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,624 : 265,821.55 = 106,589.22 : x
  2. Step 2: Convert to fraction form
    192,624/265,821.55 = 106,589.22/x
  3. Step 3: Cross multiply
    192,624x = 265,821.55 × 106,589.22
  4. Step 4: Simplify right side
    192,624x = 28,333,711,407.22
  5. Step 5: Solve for x
    x = 28,333,711,407.22/192,624
  6. Step 6: Final answer
    x = 147,093.36

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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.