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Finding the Fourth Proportional to 164,344.40, 226,789.38 and 103,123.56

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Solution

The fourth proportional to 164,344.40, 226,789.38 and 103,123.56 is: 142,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,344.40 : 226,789.38 = 103,123.56 : x
  2. Step 2: Convert to fraction form
    164,344.40/226,789.38 = 103,123.56/x
  3. Step 3: Cross multiply
    164,344.40x = 226,789.38 × 103,123.56
  4. Step 4: Simplify right side
    164,344.40x = 23,387,329,127.93
  5. Step 5: Solve for x
    x = 23,387,329,127.93/164,344.40
  6. Step 6: Final answer
    x = 142,306.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.