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Finding the Fourth Proportional to 209,224.32, 313,818.66 and 82,830.20

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Solution

The fourth proportional to 209,224.32, 313,818.66 and 82,830.20 is: 124,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.32 : 313,818.66 = 82,830.20 : x
  2. Step 2: Convert to fraction form
    209,224.32/313,818.66 = 82,830.20/x
  3. Step 3: Cross multiply
    209,224.32x = 313,818.66 × 82,830.20
  4. Step 4: Simplify right side
    209,224.32x = 25,993,662,371.53
  5. Step 5: Solve for x
    x = 25,993,662,371.53/209,224.32
  6. Step 6: Final answer
    x = 124,238.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.