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Finding the Fourth Proportional to 181,694.64, 272,573.82 and 75,078.12

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Solution

The fourth proportional to 181,694.64, 272,573.82 and 75,078.12 is: 112,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,694.64 : 272,573.82 = 75,078.12 : x
  2. Step 2: Convert to fraction form
    181,694.64/272,573.82 = 75,078.12/x
  3. Step 3: Cross multiply
    181,694.64x = 272,573.82 × 75,078.12
  4. Step 4: Simplify right side
    181,694.64x = 20,464,329,966.82
  5. Step 5: Solve for x
    x = 20,464,329,966.82/181,694.64
  6. Step 6: Final answer
    x = 112,630.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.