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Finding the Fourth Proportional to 178,859.40, 246,772.14 and 107,213.28

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Solution

The fourth proportional to 178,859.40, 246,772.14 and 107,213.28 is: 147,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,859.40 : 246,772.14 = 107,213.28 : x
  2. Step 2: Convert to fraction form
    178,859.40/246,772.14 = 107,213.28/x
  3. Step 3: Cross multiply
    178,859.40x = 246,772.14 × 107,213.28
  4. Step 4: Simplify right side
    178,859.40x = 26,457,250,542.02
  5. Step 5: Solve for x
    x = 26,457,250,542.02/178,859.40
  6. Step 6: Final answer
    x = 147,922.06

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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.