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Finding the Fourth Proportional to 139,985.82, 193,183.11 and 76,326.30

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Solution

The fourth proportional to 139,985.82, 193,183.11 and 76,326.30 is: 105,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,985.82 : 193,183.11 = 76,326.30 : x
  2. Step 2: Convert to fraction form
    139,985.82/193,183.11 = 76,326.30/x
  3. Step 3: Cross multiply
    139,985.82x = 193,183.11 × 76,326.30
  4. Step 4: Simplify right side
    139,985.82x = 14,744,952,008.79
  5. Step 5: Solve for x
    x = 14,744,952,008.79/139,985.82
  6. Step 6: Final answer
    x = 105,331.75

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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.