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Finding the Fourth Proportional to 206,267.26, 309,401.16 and 56,508.87

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Solution

The fourth proportional to 206,267.26, 309,401.16 and 56,508.87 is: 84,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,267.26 : 309,401.16 = 56,508.87 : x
  2. Step 2: Convert to fraction form
    206,267.26/309,401.16 = 56,508.87/x
  3. Step 3: Cross multiply
    206,267.26x = 309,401.16 × 56,508.87
  4. Step 4: Simplify right side
    206,267.26x = 17,483,908,381.28
  5. Step 5: Solve for x
    x = 17,483,908,381.28/206,267.26
  6. Step 6: Final answer
    x = 84,763.37

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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.