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Finding the Fourth Proportional to 178,021.82, 245,672.46 and 97,447.61

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Solution

The fourth proportional to 178,021.82, 245,672.46 and 97,447.61 is: 134,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,021.82 : 245,672.46 = 97,447.61 : x
  2. Step 2: Convert to fraction form
    178,021.82/245,672.46 = 97,447.61/x
  3. Step 3: Cross multiply
    178,021.82x = 245,672.46 × 97,447.61
  4. Step 4: Simplify right side
    178,021.82x = 23,940,194,069.82
  5. Step 5: Solve for x
    x = 23,940,194,069.82/178,021.82
  6. Step 6: Final answer
    x = 134,478.99

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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.