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Finding the Fourth Proportional to 139,881.91, 193,037 and 76,219.66

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Solution

The fourth proportional to 139,881.91, 193,037 and 76,219.66 is: 105,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,881.91 : 193,037 = 76,219.66 : x
  2. Step 2: Convert to fraction form
    139,881.91/193,037 = 76,219.66/x
  3. Step 3: Cross multiply
    139,881.91x = 193,037 × 76,219.66
  4. Step 4: Simplify right side
    139,881.91x = 14,713,214,507.42
  5. Step 5: Solve for x
    x = 14,713,214,507.42/139,881.91
  6. Step 6: Final answer
    x = 105,183.11

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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.