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Finding the Fourth Proportional to 178,463.22, 246,299.82 and 106,843.20

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Solution

The fourth proportional to 178,463.22, 246,299.82 and 106,843.20 is: 147,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,463.22 : 246,299.82 = 106,843.20 : x
  2. Step 2: Convert to fraction form
    178,463.22/246,299.82 = 106,843.20/x
  3. Step 3: Cross multiply
    178,463.22x = 246,299.82 × 106,843.20
  4. Step 4: Simplify right side
    178,463.22x = 26,315,460,928.22
  5. Step 5: Solve for x
    x = 26,315,460,928.22/178,463.22
  6. Step 6: Final answer
    x = 147,455.93

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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.