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Finding the Fourth Proportional to 242,879.40, 363,735.90 and 196,223.40

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Solution

The fourth proportional to 242,879.40, 363,735.90 and 196,223.40 is: 293,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,879.40 : 363,735.90 = 196,223.40 : x
  2. Step 2: Convert to fraction form
    242,879.40/363,735.90 = 196,223.40/x
  3. Step 3: Cross multiply
    242,879.40x = 363,735.90 × 196,223.40
  4. Step 4: Simplify right side
    242,879.40x = 71,373,495,000.06
  5. Step 5: Solve for x
    x = 71,373,495,000.06/242,879.40
  6. Step 6: Final answer
    x = 293,863.93

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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.