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Finding the Fourth Proportional to 228,981.69, 343,402.56 and 158,358.20

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Solution

The fourth proportional to 228,981.69, 343,402.56 and 158,358.20 is: 237,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,981.69 : 343,402.56 = 158,358.20 : x
  2. Step 2: Convert to fraction form
    228,981.69/343,402.56 = 158,358.20/x
  3. Step 3: Cross multiply
    228,981.69x = 343,402.56 × 158,358.20
  4. Step 4: Simplify right side
    228,981.69x = 54,380,609,559.98
  5. Step 5: Solve for x
    x = 54,380,609,559.98/228,981.69
  6. Step 6: Final answer
    x = 237,488.90

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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.