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Finding the Fourth Proportional to 150,322.42, 207,447.92 and 82,339.39

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Solution

The fourth proportional to 150,322.42, 207,447.92 and 82,339.39 is: 113,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,322.42 : 207,447.92 = 82,339.39 : x
  2. Step 2: Convert to fraction form
    150,322.42/207,447.92 = 82,339.39/x
  3. Step 3: Cross multiply
    150,322.42x = 207,447.92 × 82,339.39
  4. Step 4: Simplify right side
    150,322.42x = 17,081,134,259.25
  5. Step 5: Solve for x
    x = 17,081,134,259.25/150,322.42
  6. Step 6: Final answer
    x = 113,629.99

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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.