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Finding the Fourth Proportional to 202,012.96, 278,778.74 and 111,366.88

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Solution

The fourth proportional to 202,012.96, 278,778.74 and 111,366.88 is: 153,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.96 : 278,778.74 = 111,366.88 : x
  2. Step 2: Convert to fraction form
    202,012.96/278,778.74 = 111,366.88/x
  3. Step 3: Cross multiply
    202,012.96x = 278,778.74 × 111,366.88
  4. Step 4: Simplify right side
    202,012.96x = 31,046,718,484.13
  5. Step 5: Solve for x
    x = 31,046,718,484.13/202,012.96
  6. Step 6: Final answer
    x = 153,686.77

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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.