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Finding the Fourth Proportional to 83,296.17, 114,961.55 and 65,525.85

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Solution

The fourth proportional to 83,296.17, 114,961.55 and 65,525.85 is: 90,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296.17 : 114,961.55 = 65,525.85 : x
  2. Step 2: Convert to fraction form
    83,296.17/114,961.55 = 65,525.85/x
  3. Step 3: Cross multiply
    83,296.17x = 114,961.55 × 65,525.85
  4. Step 4: Simplify right side
    83,296.17x = 7,532,952,953.44
  5. Step 5: Solve for x
    x = 7,532,952,953.44/83,296.17
  6. Step 6: Final answer
    x = 90,435.77

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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.