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Finding the Fourth Proportional to 177,144, 244,458.72 and 97,656

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Solution

The fourth proportional to 177,144, 244,458.72 and 97,656 is: 134,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,144 : 244,458.72 = 97,656 : x
  2. Step 2: Convert to fraction form
    177,144/244,458.72 = 97,656/x
  3. Step 3: Cross multiply
    177,144x = 244,458.72 × 97,656
  4. Step 4: Simplify right side
    177,144x = 23,872,860,760.32
  5. Step 5: Solve for x
    x = 23,872,860,760.32/177,144
  6. Step 6: Final answer
    x = 134,765.28

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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.