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Finding the Fourth Proportional to 228,943.80, 343,255.70 and 135,401.40

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Solution

The fourth proportional to 228,943.80, 343,255.70 and 135,401.40 is: 203,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.80 : 343,255.70 = 135,401.40 : x
  2. Step 2: Convert to fraction form
    228,943.80/343,255.70 = 135,401.40/x
  3. Step 3: Cross multiply
    228,943.80x = 343,255.70 × 135,401.40
  4. Step 4: Simplify right side
    228,943.80x = 46,477,302,337.98
  5. Step 5: Solve for x
    x = 46,477,302,337.98/228,943.80
  6. Step 6: Final answer
    x = 203,007.47

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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.