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Finding the Fourth Proportional to 148,906.74, 205,492.14 and 80,924.28

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Solution

The fourth proportional to 148,906.74, 205,492.14 and 80,924.28 is: 111,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906.74 : 205,492.14 = 80,924.28 : x
  2. Step 2: Convert to fraction form
    148,906.74/205,492.14 = 80,924.28/x
  3. Step 3: Cross multiply
    148,906.74x = 205,492.14 × 80,924.28
  4. Step 4: Simplify right side
    148,906.74x = 16,629,303,475.16
  5. Step 5: Solve for x
    x = 16,629,303,475.16/148,906.74
  6. Step 6: Final answer
    x = 111,675.96

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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.