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Finding the Fourth Proportional to 202,004.96, 278,767.71 and 111,358.85

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Solution

The fourth proportional to 202,004.96, 278,767.71 and 111,358.85 is: 153,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.96 : 278,767.71 = 111,358.85 : x
  2. Step 2: Convert to fraction form
    202,004.96/278,767.71 = 111,358.85/x
  3. Step 3: Cross multiply
    202,004.96x = 278,767.71 × 111,358.85
  4. Step 4: Simplify right side
    202,004.96x = 31,043,250,208.90
  5. Step 5: Solve for x
    x = 31,043,250,208.90/202,004.96
  6. Step 6: Final answer
    x = 153,675.69

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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.