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Finding the Fourth Proportional to 111,201.94, 166,784.13 and 31,221.57

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Solution

The fourth proportional to 111,201.94, 166,784.13 and 31,221.57 is: 46,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,201.94 : 166,784.13 = 31,221.57 : x
  2. Step 2: Convert to fraction form
    111,201.94/166,784.13 = 31,221.57/x
  3. Step 3: Cross multiply
    111,201.94x = 166,784.13 × 31,221.57
  4. Step 4: Simplify right side
    111,201.94x = 5,207,262,389.68
  5. Step 5: Solve for x
    x = 5,207,262,389.68/111,201.94
  6. Step 6: Final answer
    x = 46,827.08

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Why These Related Problems?

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