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Finding the Fourth Proportional to 178,447.26, 246,257.64 and 102,995.76

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Solution

The fourth proportional to 178,447.26, 246,257.64 and 102,995.76 is: 142,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.26 : 246,257.64 = 102,995.76 : x
  2. Step 2: Convert to fraction form
    178,447.26/246,257.64 = 102,995.76/x
  3. Step 3: Cross multiply
    178,447.26x = 246,257.64 × 102,995.76
  4. Step 4: Simplify right side
    178,447.26x = 25,363,492,787.61
  5. Step 5: Solve for x
    x = 25,363,492,787.61/178,447.26
  6. Step 6: Final answer
    x = 142,134.39

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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.