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Finding the Fourth Proportional to 139,231.40, 192,123.38 and 77,969.06

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Solution

The fourth proportional to 139,231.40, 192,123.38 and 77,969.06 is: 107,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,231.40 : 192,123.38 = 77,969.06 : x
  2. Step 2: Convert to fraction form
    139,231.40/192,123.38 = 77,969.06/x
  3. Step 3: Cross multiply
    139,231.40x = 192,123.38 × 77,969.06
  4. Step 4: Simplify right side
    139,231.40x = 14,979,679,342.62
  5. Step 5: Solve for x
    x = 14,979,679,342.62/139,231.40
  6. Step 6: Final answer
    x = 107,588.37

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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.