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Finding the Fourth Proportional to 209,025.70, 313,356.30 and 142,249.30

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Solution

The fourth proportional to 209,025.70, 313,356.30 and 142,249.30 is: 213,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,025.70 : 313,356.30 = 142,249.30 : x
  2. Step 2: Convert to fraction form
    209,025.70/313,356.30 = 142,249.30/x
  3. Step 3: Cross multiply
    209,025.70x = 313,356.30 × 142,249.30
  4. Step 4: Simplify right side
    209,025.70x = 44,574,714,325.59
  5. Step 5: Solve for x
    x = 44,574,714,325.59/209,025.70
  6. Step 6: Final answer
    x = 213,249.92

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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.