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Finding the Fourth Proportional to 122,092.50, 183,970.71 and 100,392

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Solution

The fourth proportional to 122,092.50, 183,970.71 and 100,392 is: 151,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,092.50 : 183,970.71 = 100,392 : x
  2. Step 2: Convert to fraction form
    122,092.50/183,970.71 = 100,392/x
  3. Step 3: Cross multiply
    122,092.50x = 183,970.71 × 100,392
  4. Step 4: Simplify right side
    122,092.50x = 18,469,187,518.32
  5. Step 5: Solve for x
    x = 18,469,187,518.32/122,092.50
  6. Step 6: Final answer
    x = 151,272.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.