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Finding the Fourth Proportional to 164,211.68, 226,614.64 and 96,212.38

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Solution

The fourth proportional to 164,211.68, 226,614.64 and 96,212.38 is: 132,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,211.68 : 226,614.64 = 96,212.38 : x
  2. Step 2: Convert to fraction form
    164,211.68/226,614.64 = 96,212.38/x
  3. Step 3: Cross multiply
    164,211.68x = 226,614.64 × 96,212.38
  4. Step 4: Simplify right side
    164,211.68x = 21,803,133,857.24
  5. Step 5: Solve for x
    x = 21,803,133,857.24/164,211.68
  6. Step 6: Final answer
    x = 132,774.56

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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.