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Finding the Fourth Proportional to 106,194.67, 159,291.80 and 31,367.36

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Solution

The fourth proportional to 106,194.67, 159,291.80 and 31,367.36 is: 47,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194.67 : 159,291.80 = 31,367.36 : x
  2. Step 2: Convert to fraction form
    106,194.67/159,291.80 = 31,367.36/x
  3. Step 3: Cross multiply
    106,194.67x = 159,291.80 × 31,367.36
  4. Step 4: Simplify right side
    106,194.67x = 4,996,562,830.98
  5. Step 5: Solve for x
    x = 4,996,562,830.98/106,194.67
  6. Step 6: Final answer
    x = 47,050.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.