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Finding the Fourth Proportional to 149,322.84, 206,065.52 and 82,254.84

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Solution

The fourth proportional to 149,322.84, 206,065.52 and 82,254.84 is: 113,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322.84 : 206,065.52 = 82,254.84 : x
  2. Step 2: Convert to fraction form
    149,322.84/206,065.52 = 82,254.84/x
  3. Step 3: Cross multiply
    149,322.84x = 206,065.52 × 82,254.84
  4. Step 4: Simplify right side
    149,322.84x = 16,949,886,377.12
  5. Step 5: Solve for x
    x = 16,949,886,377.12/149,322.84
  6. Step 6: Final answer
    x = 113,511.68

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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.