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Finding the Fourth Proportional to 106,906.68, 160,356.69 and 50,787.18

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Solution

The fourth proportional to 106,906.68, 160,356.69 and 50,787.18 is: 76,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.68 : 160,356.69 = 50,787.18 : x
  2. Step 2: Convert to fraction form
    106,906.68/160,356.69 = 50,787.18/x
  3. Step 3: Cross multiply
    106,906.68x = 160,356.69 × 50,787.18
  4. Step 4: Simplify right side
    106,906.68x = 8,144,064,079.23
  5. Step 5: Solve for x
    x = 8,144,064,079.23/106,906.68
  6. Step 6: Final answer
    x = 76,179.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.