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Finding the Fourth Proportional to 177,506, 244,960.30 and 96,934.48

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Solution

The fourth proportional to 177,506, 244,960.30 and 96,934.48 is: 133,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,506 : 244,960.30 = 96,934.48 : x
  2. Step 2: Convert to fraction form
    177,506/244,960.30 = 96,934.48/x
  3. Step 3: Cross multiply
    177,506x = 244,960.30 × 96,934.48
  4. Step 4: Simplify right side
    177,506x = 23,745,099,301.14
  5. Step 5: Solve for x
    x = 23,745,099,301.14/177,506
  6. Step 6: Final answer
    x = 133,770.69

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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.