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Finding the Fourth Proportional to 177,434, 244,859.08 and 97,946

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Solution

The fourth proportional to 177,434, 244,859.08 and 97,946 is: 135,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,434 : 244,859.08 = 97,946 : x
  2. Step 2: Convert to fraction form
    177,434/244,859.08 = 97,946/x
  3. Step 3: Cross multiply
    177,434x = 244,859.08 × 97,946
  4. Step 4: Simplify right side
    177,434x = 23,982,967,449.68
  5. Step 5: Solve for x
    x = 23,982,967,449.68/177,434
  6. Step 6: Final answer
    x = 135,165.57

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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.