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Finding the Fourth Proportional to 178,493.07, 267,819.56 and 97,466.74

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Solution

The fourth proportional to 178,493.07, 267,819.56 and 97,466.74 is: 146,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,493.07 : 267,819.56 = 97,466.74 : x
  2. Step 2: Convert to fraction form
    178,493.07/267,819.56 = 97,466.74/x
  3. Step 3: Cross multiply
    178,493.07x = 267,819.56 × 97,466.74
  4. Step 4: Simplify right side
    178,493.07x = 26,103,500,684.79
  5. Step 5: Solve for x
    x = 26,103,500,684.79/178,493.07
  6. Step 6: Final answer
    x = 146,243.78

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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.