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Finding the Fourth Proportional to 227,740.44, 314,257.94 and 132,228.48

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Solution

The fourth proportional to 227,740.44, 314,257.94 and 132,228.48 is: 182,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,740.44 : 314,257.94 = 132,228.48 : x
  2. Step 2: Convert to fraction form
    227,740.44/314,257.94 = 132,228.48/x
  3. Step 3: Cross multiply
    227,740.44x = 314,257.94 × 132,228.48
  4. Step 4: Simplify right side
    227,740.44x = 41,553,849,734.13
  5. Step 5: Solve for x
    x = 41,553,849,734.13/227,740.44
  6. Step 6: Final answer
    x = 182,461.44

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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.