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Finding the Fourth Proportional to 205,269.89, 283,273.82 and 114,626.93

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Solution

The fourth proportional to 205,269.89, 283,273.82 and 114,626.93 is: 158,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,269.89 : 283,273.82 = 114,626.93 : x
  2. Step 2: Convert to fraction form
    205,269.89/283,273.82 = 114,626.93/x
  3. Step 3: Cross multiply
    205,269.89x = 283,273.82 × 114,626.93
  4. Step 4: Simplify right side
    205,269.89x = 32,470,806,346.47
  5. Step 5: Solve for x
    x = 32,470,806,346.47/205,269.89
  6. Step 6: Final answer
    x = 158,185.92

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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.