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Finding the Fourth Proportional to 209,124.92, 313,690.80 and 75,922.04

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Solution

The fourth proportional to 209,124.92, 313,690.80 and 75,922.04 is: 113,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124.92 : 313,690.80 = 75,922.04 : x
  2. Step 2: Convert to fraction form
    209,124.92/313,690.80 = 75,922.04/x
  3. Step 3: Cross multiply
    209,124.92x = 313,690.80 × 75,922.04
  4. Step 4: Simplify right side
    209,124.92x = 23,816,045,465.23
  5. Step 5: Solve for x
    x = 23,816,045,465.23/209,124.92
  6. Step 6: Final answer
    x = 113,884.30

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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.