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Finding the Fourth Proportional to 193,293.16, 266,753.52 and 120,739

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Solution

The fourth proportional to 193,293.16, 266,753.52 and 120,739 is: 166,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,293.16 : 266,753.52 = 120,739 : x
  2. Step 2: Convert to fraction form
    193,293.16/266,753.52 = 120,739/x
  3. Step 3: Cross multiply
    193,293.16x = 266,753.52 × 120,739
  4. Step 4: Simplify right side
    193,293.16x = 32,207,553,251.28
  5. Step 5: Solve for x
    x = 32,207,553,251.28/193,293.16
  6. Step 6: Final answer
    x = 166,625.42

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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.