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Finding the Fourth Proportional to 177,066, 244,351.08 and 97,578

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Solution

The fourth proportional to 177,066, 244,351.08 and 97,578 is: 134,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,066 : 244,351.08 = 97,578 : x
  2. Step 2: Convert to fraction form
    177,066/244,351.08 = 97,578/x
  3. Step 3: Cross multiply
    177,066x = 244,351.08 × 97,578
  4. Step 4: Simplify right side
    177,066x = 23,843,289,684.24
  5. Step 5: Solve for x
    x = 23,843,289,684.24/177,066
  6. Step 6: Final answer
    x = 134,657.64

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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.