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Finding the Fourth Proportional to 106,324.70, 159,377.49 and 47,188.22

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Solution

The fourth proportional to 106,324.70, 159,377.49 and 47,188.22 is: 70,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324.70 : 159,377.49 = 47,188.22 : x
  2. Step 2: Convert to fraction form
    106,324.70/159,377.49 = 47,188.22/x
  3. Step 3: Cross multiply
    106,324.70x = 159,377.49 × 47,188.22
  4. Step 4: Simplify right side
    106,324.70x = 7,520,739,264.28
  5. Step 5: Solve for x
    x = 7,520,739,264.28/106,324.70
  6. Step 6: Final answer
    x = 70,733.70

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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.