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Finding the Fourth Proportional to 116,409.78, 174,613.41 and 82,074.24

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Solution

The fourth proportional to 116,409.78, 174,613.41 and 82,074.24 is: 123,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,409.78 : 174,613.41 = 82,074.24 : x
  2. Step 2: Convert to fraction form
    116,409.78/174,613.41 = 82,074.24/x
  3. Step 3: Cross multiply
    116,409.78x = 174,613.41 × 82,074.24
  4. Step 4: Simplify right side
    116,409.78x = 14,331,262,919.56
  5. Step 5: Solve for x
    x = 14,331,262,919.56/116,409.78
  6. Step 6: Final answer
    x = 123,110.47

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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.