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Finding the Fourth Proportional to 202,078.96, 278,856.07 and 111,435.51

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Solution

The fourth proportional to 202,078.96, 278,856.07 and 111,435.51 is: 153,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.96 : 278,856.07 = 111,435.51 : x
  2. Step 2: Convert to fraction form
    202,078.96/278,856.07 = 111,435.51/x
  3. Step 3: Cross multiply
    202,078.96x = 278,856.07 × 111,435.51
  4. Step 4: Simplify right side
    202,078.96x = 31,074,468,377.05
  5. Step 5: Solve for x
    x = 31,074,468,377.05/202,078.96
  6. Step 6: Final answer
    x = 153,773.89

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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.