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Finding the Fourth Proportional to 164,784.38, 227,404.24 and 96,804.22

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Solution

The fourth proportional to 164,784.38, 227,404.24 and 96,804.22 is: 133,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,784.38 : 227,404.24 = 96,804.22 : x
  2. Step 2: Convert to fraction form
    164,784.38/227,404.24 = 96,804.22/x
  3. Step 3: Cross multiply
    164,784.38x = 227,404.24 × 96,804.22
  4. Step 4: Simplify right side
    164,784.38x = 22,013,690,120.14
  5. Step 5: Solve for x
    x = 22,013,690,120.14/164,784.38
  6. Step 6: Final answer
    x = 133,590.88

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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.