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Finding the Fourth Proportional to 228,937.20, 343,431.40 and 71,164.40

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Solution

The fourth proportional to 228,937.20, 343,431.40 and 71,164.40 is: 106,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,937.20 : 343,431.40 = 71,164.40 : x
  2. Step 2: Convert to fraction form
    228,937.20/343,431.40 = 71,164.40/x
  3. Step 3: Cross multiply
    228,937.20x = 343,431.40 × 71,164.40
  4. Step 4: Simplify right side
    228,937.20x = 24,440,089,522.16
  5. Step 5: Solve for x
    x = 24,440,089,522.16/228,937.20
  6. Step 6: Final answer
    x = 106,754.56

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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.