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Finding the Fourth Proportional to 178,997.67, 268,482.36 and 104,070

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Solution

The fourth proportional to 178,997.67, 268,482.36 and 104,070 is: 156,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,997.67 : 268,482.36 = 104,070 : x
  2. Step 2: Convert to fraction form
    178,997.67/268,482.36 = 104,070/x
  3. Step 3: Cross multiply
    178,997.67x = 268,482.36 × 104,070
  4. Step 4: Simplify right side
    178,997.67x = 27,940,959,205.20
  5. Step 5: Solve for x
    x = 27,940,959,205.20/178,997.67
  6. Step 6: Final answer
    x = 156,096.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.