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Finding the Fourth Proportional to 209,919.80, 314,879.70 and 85,350.20

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Solution

The fourth proportional to 209,919.80, 314,879.70 and 85,350.20 is: 128,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.80 : 314,879.70 = 85,350.20 : x
  2. Step 2: Convert to fraction form
    209,919.80/314,879.70 = 85,350.20/x
  3. Step 3: Cross multiply
    209,919.80x = 314,879.70 × 85,350.20
  4. Step 4: Simplify right side
    209,919.80x = 26,875,045,370.94
  5. Step 5: Solve for x
    x = 26,875,045,370.94/209,919.80
  6. Step 6: Final answer
    x = 128,025.30

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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.