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Finding the Fourth Proportional to 206,892.30, 310,396.05 and 101,714.70

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Solution

The fourth proportional to 206,892.30, 310,396.05 and 101,714.70 is: 152,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.30 : 310,396.05 = 101,714.70 : x
  2. Step 2: Convert to fraction form
    206,892.30/310,396.05 = 101,714.70/x
  3. Step 3: Cross multiply
    206,892.30x = 310,396.05 × 101,714.70
  4. Step 4: Simplify right side
    206,892.30x = 31,571,841,106.94
  5. Step 5: Solve for x
    x = 31,571,841,106.94/206,892.30
  6. Step 6: Final answer
    x = 152,600.37

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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.