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Finding the Fourth Proportional to 226,280.54, 312,257.05 and 135,686.50

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Solution

The fourth proportional to 226,280.54, 312,257.05 and 135,686.50 is: 187,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,280.54 : 312,257.05 = 135,686.50 : x
  2. Step 2: Convert to fraction form
    226,280.54/312,257.05 = 135,686.50/x
  3. Step 3: Cross multiply
    226,280.54x = 312,257.05 × 135,686.50
  4. Step 4: Simplify right side
    226,280.54x = 42,369,065,094.97
  5. Step 5: Solve for x
    x = 42,369,065,094.97/226,280.54
  6. Step 6: Final answer
    x = 187,241.31

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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.