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Finding the Fourth Proportional to 106,197.68, 159,296.32 and 31,370.38

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Solution

The fourth proportional to 106,197.68, 159,296.32 and 31,370.38 is: 47,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197.68 : 159,296.32 = 31,370.38 : x
  2. Step 2: Convert to fraction form
    106,197.68/159,296.32 = 31,370.38/x
  3. Step 3: Cross multiply
    106,197.68x = 159,296.32 × 31,370.38
  4. Step 4: Simplify right side
    106,197.68x = 4,997,186,091.00
  5. Step 5: Solve for x
    x = 4,997,186,091.00/106,197.68
  6. Step 6: Final answer
    x = 47,055.51

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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.