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Finding the Fourth Proportional to 178,469.84, 246,247.08 and 106,822.64

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Solution

The fourth proportional to 178,469.84, 246,247.08 and 106,822.64 is: 147,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,469.84 : 246,247.08 = 106,822.64 : x
  2. Step 2: Convert to fraction form
    178,469.84/246,247.08 = 106,822.64/x
  3. Step 3: Cross multiply
    178,469.84x = 246,247.08 × 106,822.64
  4. Step 4: Simplify right side
    178,469.84x = 26,304,763,177.89
  5. Step 5: Solve for x
    x = 26,304,763,177.89/178,469.84
  6. Step 6: Final answer
    x = 147,390.52

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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.