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Finding the Fourth Proportional to 206,604, 309,957.84 and 58,860

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Solution

The fourth proportional to 206,604, 309,957.84 and 58,860 is: 88,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,604 : 309,957.84 = 58,860 : x
  2. Step 2: Convert to fraction form
    206,604/309,957.84 = 58,860/x
  3. Step 3: Cross multiply
    206,604x = 309,957.84 × 58,860
  4. Step 4: Simplify right side
    206,604x = 18,244,118,462.40
  5. Step 5: Solve for x
    x = 18,244,118,462.40/206,604
  6. Step 6: Final answer
    x = 88,304.77

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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.