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Finding the Fourth Proportional to 165,262.34, 227,978.09 and 107,935.22

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Solution

The fourth proportional to 165,262.34, 227,978.09 and 107,935.22 is: 148,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,262.34 : 227,978.09 = 107,935.22 : x
  2. Step 2: Convert to fraction form
    165,262.34/227,978.09 = 107,935.22/x
  3. Step 3: Cross multiply
    165,262.34x = 227,978.09 × 107,935.22
  4. Step 4: Simplify right side
    165,262.34x = 24,606,864,714.25
  5. Step 5: Solve for x
    x = 24,606,864,714.25/165,262.34
  6. Step 6: Final answer
    x = 148,895.78

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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.