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Finding the Fourth Proportional to 209,920.58, 314,930.08 and 83,568.56

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Solution

The fourth proportional to 209,920.58, 314,930.08 and 83,568.56 is: 125,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.58 : 314,930.08 = 83,568.56 : x
  2. Step 2: Convert to fraction form
    209,920.58/314,930.08 = 83,568.56/x
  3. Step 3: Cross multiply
    209,920.58x = 314,930.08 × 83,568.56
  4. Step 4: Simplify right side
    209,920.58x = 26,318,253,286.28
  5. Step 5: Solve for x
    x = 26,318,253,286.28/209,920.58
  6. Step 6: Final answer
    x = 125,372.43

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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.