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Finding the Fourth Proportional to 221,149.41, 305,176.51 and 135,252.55

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Solution

The fourth proportional to 221,149.41, 305,176.51 and 135,252.55 is: 186,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,149.41 : 305,176.51 = 135,252.55 : x
  2. Step 2: Convert to fraction form
    221,149.41/305,176.51 = 135,252.55/x
  3. Step 3: Cross multiply
    221,149.41x = 305,176.51 × 135,252.55
  4. Step 4: Simplify right side
    221,149.41x = 41,275,901,177.60
  5. Step 5: Solve for x
    x = 41,275,901,177.60/221,149.41
  6. Step 6: Final answer
    x = 186,642.60

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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.