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Finding the Fourth Proportional to 164,691.86, 227,276.56 and 96,709.64

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Solution

The fourth proportional to 164,691.86, 227,276.56 and 96,709.64 is: 133,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,691.86 : 227,276.56 = 96,709.64 : x
  2. Step 2: Convert to fraction form
    164,691.86/227,276.56 = 96,709.64/x
  3. Step 3: Cross multiply
    164,691.86x = 227,276.56 × 96,709.64
  4. Step 4: Simplify right side
    164,691.86x = 21,979,834,298.04
  5. Step 5: Solve for x
    x = 21,979,834,298.04/164,691.86
  6. Step 6: Final answer
    x = 133,460.36

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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.