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Finding the Fourth Proportional to 228,786.40, 343,202.40 and 95,708.32

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Solution

The fourth proportional to 228,786.40, 343,202.40 and 95,708.32 is: 143,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,786.40 : 343,202.40 = 95,708.32 : x
  2. Step 2: Convert to fraction form
    228,786.40/343,202.40 = 95,708.32/x
  3. Step 3: Cross multiply
    228,786.40x = 343,202.40 × 95,708.32
  4. Step 4: Simplify right side
    228,786.40x = 32,847,325,123.97
  5. Step 5: Solve for x
    x = 32,847,325,123.97/228,786.40
  6. Step 6: Final answer
    x = 143,572.02

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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.