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Finding the Fourth Proportional to 206,257.84, 309,210.30 and 93,897.88

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Solution

The fourth proportional to 206,257.84, 309,210.30 and 93,897.88 is: 140,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,257.84 : 309,210.30 = 93,897.88 : x
  2. Step 2: Convert to fraction form
    206,257.84/309,210.30 = 93,897.88/x
  3. Step 3: Cross multiply
    206,257.84x = 309,210.30 × 93,897.88
  4. Step 4: Simplify right side
    206,257.84x = 29,034,191,644.16
  5. Step 5: Solve for x
    x = 29,034,191,644.16/206,257.84
  6. Step 6: Final answer
    x = 140,766.49

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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.