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Finding the Fourth Proportional to 227,761.74, 314,311.22 and 132,274.59

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Solution

The fourth proportional to 227,761.74, 314,311.22 and 132,274.59 is: 182,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.74 : 314,311.22 = 132,274.59 : x
  2. Step 2: Convert to fraction form
    227,761.74/314,311.22 = 132,274.59/x
  3. Step 3: Cross multiply
    227,761.74x = 314,311.22 × 132,274.59
  4. Step 4: Simplify right side
    227,761.74x = 41,575,386,413.89
  5. Step 5: Solve for x
    x = 41,575,386,413.89/227,761.74
  6. Step 6: Final answer
    x = 182,538.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.