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Finding the Fourth Proportional to 178,578.80, 246,446.43 and 106,945.10

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Solution

The fourth proportional to 178,578.80, 246,446.43 and 106,945.10 is: 147,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578.80 : 246,446.43 = 106,945.10 : x
  2. Step 2: Convert to fraction form
    178,578.80/246,446.43 = 106,945.10/x
  3. Step 3: Cross multiply
    178,578.80x = 246,446.43 × 106,945.10
  4. Step 4: Simplify right side
    178,578.80x = 26,356,238,100.99
  5. Step 5: Solve for x
    x = 26,356,238,100.99/178,578.80
  6. Step 6: Final answer
    x = 147,588.84

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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.