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Finding the Fourth Proportional to 178,856.78, 246,768.53 and 107,210.66

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Solution

The fourth proportional to 178,856.78, 246,768.53 and 107,210.66 is: 147,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,856.78 : 246,768.53 = 107,210.66 : x
  2. Step 2: Convert to fraction form
    178,856.78/246,768.53 = 107,210.66/x
  3. Step 3: Cross multiply
    178,856.78x = 246,768.53 × 107,210.66
  4. Step 4: Simplify right side
    178,856.78x = 26,456,215,198.63
  5. Step 5: Solve for x
    x = 26,456,215,198.63/178,856.78
  6. Step 6: Final answer
    x = 147,918.44

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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.