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Finding the Fourth Proportional to 115,593, 159,531.32 and 65,295.24

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Solution

The fourth proportional to 115,593, 159,531.32 and 65,295.24 is: 90,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,593 : 159,531.32 = 65,295.24 : x
  2. Step 2: Convert to fraction form
    115,593/159,531.32 = 65,295.24/x
  3. Step 3: Cross multiply
    115,593x = 159,531.32 × 65,295.24
  4. Step 4: Simplify right side
    115,593x = 10,416,635,826.92
  5. Step 5: Solve for x
    x = 10,416,635,826.92/115,593
  6. Step 6: Final answer
    x = 90,114.76

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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.