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Finding the Fourth Proportional to 139,987.30, 193,183.38 and 76,326.16

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Solution

The fourth proportional to 139,987.30, 193,183.38 and 76,326.16 is: 105,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,987.30 : 193,183.38 = 76,326.16 : x
  2. Step 2: Convert to fraction form
    139,987.30/193,183.38 = 76,326.16/x
  3. Step 3: Cross multiply
    139,987.30x = 193,183.38 × 76,326.16
  4. Step 4: Simplify right side
    139,987.30x = 14,744,945,571.22
  5. Step 5: Solve for x
    x = 14,744,945,571.22/139,987.30
  6. Step 6: Final answer
    x = 105,330.59

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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.