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Finding the Fourth Proportional to 178,496.26, 267,824.35 and 97,469.93

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Solution

The fourth proportional to 178,496.26, 267,824.35 and 97,469.93 is: 146,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496.26 : 267,824.35 = 97,469.93 : x
  2. Step 2: Convert to fraction form
    178,496.26/267,824.35 = 97,469.93/x
  3. Step 3: Cross multiply
    178,496.26x = 267,824.35 × 97,469.93
  4. Step 4: Simplify right side
    178,496.26x = 26,104,821,072.68
  5. Step 5: Solve for x
    x = 26,104,821,072.68/178,496.26
  6. Step 6: Final answer
    x = 146,248.56

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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.