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Finding the Fourth Proportional to 106,989.30, 160,411.05 and 50,856.30

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Solution

The fourth proportional to 106,989.30, 160,411.05 and 50,856.30 is: 76,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,989.30 : 160,411.05 = 50,856.30 : x
  2. Step 2: Convert to fraction form
    106,989.30/160,411.05 = 50,856.30/x
  3. Step 3: Cross multiply
    106,989.30x = 160,411.05 × 50,856.30
  4. Step 4: Simplify right side
    106,989.30x = 8,157,912,482.12
  5. Step 5: Solve for x
    x = 8,157,912,482.12/106,989.30
  6. Step 6: Final answer
    x = 76,249.80

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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.