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Finding the Fourth Proportional to 182,497.92, 251,830.17 and 117,968.66

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Solution

The fourth proportional to 182,497.92, 251,830.17 and 117,968.66 is: 162,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,497.92 : 251,830.17 = 117,968.66 : x
  2. Step 2: Convert to fraction form
    182,497.92/251,830.17 = 117,968.66/x
  3. Step 3: Cross multiply
    182,497.92x = 251,830.17 × 117,968.66
  4. Step 4: Simplify right side
    182,497.92x = 29,708,066,443.32
  5. Step 5: Solve for x
    x = 29,708,066,443.32/182,497.92
  6. Step 6: Final answer
    x = 162,785.78

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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.