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Finding the Fourth Proportional to 206,787.70, 310,181.55 and 188,416.90

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Solution

The fourth proportional to 206,787.70, 310,181.55 and 188,416.90 is: 282,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,787.70 : 310,181.55 = 188,416.90 : x
  2. Step 2: Convert to fraction form
    206,787.70/310,181.55 = 188,416.90/x
  3. Step 3: Cross multiply
    206,787.70x = 310,181.55 × 188,416.90
  4. Step 4: Simplify right side
    206,787.70x = 58,443,446,088.20
  5. Step 5: Solve for x
    x = 58,443,446,088.20/206,787.70
  6. Step 6: Final answer
    x = 282,625.35

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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.