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Finding the Fourth Proportional to 148,620.64, 205,192.56 and 92,092

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Solution

The fourth proportional to 148,620.64, 205,192.56 and 92,092 is: 127,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,620.64 : 205,192.56 = 92,092 : x
  2. Step 2: Convert to fraction form
    148,620.64/205,192.56 = 92,092/x
  3. Step 3: Cross multiply
    148,620.64x = 205,192.56 × 92,092
  4. Step 4: Simplify right side
    148,620.64x = 18,896,593,235.52
  5. Step 5: Solve for x
    x = 18,896,593,235.52/148,620.64
  6. Step 6: Final answer
    x = 127,146.49

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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.