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Finding the Fourth Proportional to 164,092, 226,447.08 and 88,640.50

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Solution

The fourth proportional to 164,092, 226,447.08 and 88,640.50 is: 122,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,092 : 226,447.08 = 88,640.50 : x
  2. Step 2: Convert to fraction form
    164,092/226,447.08 = 88,640.50/x
  3. Step 3: Cross multiply
    164,092x = 226,447.08 × 88,640.50
  4. Step 4: Simplify right side
    164,092x = 20,072,382,394.74
  5. Step 5: Solve for x
    x = 20,072,382,394.74/164,092
  6. Step 6: Final answer
    x = 122,323.95

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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.