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Finding the Fourth Proportional to 164,438.29, 226,920.04 and 92,824.98

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Solution

The fourth proportional to 164,438.29, 226,920.04 and 92,824.98 is: 128,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,438.29 : 226,920.04 = 92,824.98 : x
  2. Step 2: Convert to fraction form
    164,438.29/226,920.04 = 92,824.98/x
  3. Step 3: Cross multiply
    164,438.29x = 226,920.04 × 92,824.98
  4. Step 4: Simplify right side
    164,438.29x = 21,063,848,174.60
  5. Step 5: Solve for x
    x = 21,063,848,174.60/164,438.29
  6. Step 6: Final answer
    x = 128,095.76

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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.