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Finding the Fourth Proportional to 160,906.84, 222,039.12 and 92,892.76

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Solution

The fourth proportional to 160,906.84, 222,039.12 and 92,892.76 is: 128,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.84 : 222,039.12 = 92,892.76 : x
  2. Step 2: Convert to fraction form
    160,906.84/222,039.12 = 92,892.76/x
  3. Step 3: Cross multiply
    160,906.84x = 222,039.12 × 92,892.76
  4. Step 4: Simplify right side
    160,906.84x = 20,625,826,478.02
  5. Step 5: Solve for x
    x = 20,625,826,478.02/160,906.84
  6. Step 6: Final answer
    x = 128,184.90

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1.5x scale

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.