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Finding the Fourth Proportional to 185,296.68, 255,709.41 and 100,413.74

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Solution

The fourth proportional to 185,296.68, 255,709.41 and 100,413.74 is: 138,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,296.68 : 255,709.41 = 100,413.74 : x
  2. Step 2: Convert to fraction form
    185,296.68/255,709.41 = 100,413.74/x
  3. Step 3: Cross multiply
    185,296.68x = 255,709.41 × 100,413.74
  4. Step 4: Simplify right side
    185,296.68x = 25,676,738,474.02
  5. Step 5: Solve for x
    x = 25,676,738,474.02/185,296.68
  6. Step 6: Final answer
    x = 138,570.96

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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.