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Finding the Fourth Proportional to 227,761.80, 314,442.42 and 151,384.44

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Solution

The fourth proportional to 227,761.80, 314,442.42 and 151,384.44 is: 208,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.80 : 314,442.42 = 151,384.44 : x
  2. Step 2: Convert to fraction form
    227,761.80/314,442.42 = 151,384.44/x
  3. Step 3: Cross multiply
    227,761.80x = 314,442.42 × 151,384.44
  4. Step 4: Simplify right side
    227,761.80x = 47,601,689,663.94
  5. Step 5: Solve for x
    x = 47,601,689,663.94/227,761.80
  6. Step 6: Final answer
    x = 208,997.69

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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.