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Finding the Fourth Proportional to 206,401, 309,653.52 and 58,657

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Solution

The fourth proportional to 206,401, 309,653.52 and 58,657 is: 88,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401 : 309,653.52 = 58,657 : x
  2. Step 2: Convert to fraction form
    206,401/309,653.52 = 58,657/x
  3. Step 3: Cross multiply
    206,401x = 309,653.52 × 58,657
  4. Step 4: Simplify right side
    206,401x = 18,163,346,522.64
  5. Step 5: Solve for x
    x = 18,163,346,522.64/206,401
  6. Step 6: Final answer
    x = 88,000.28

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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.