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Finding the Fourth Proportional to 206,539.70, 309,809.55 and 183,989.30

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Solution

The fourth proportional to 206,539.70, 309,809.55 and 183,989.30 is: 275,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.70 : 309,809.55 = 183,989.30 : x
  2. Step 2: Convert to fraction form
    206,539.70/309,809.55 = 183,989.30/x
  3. Step 3: Cross multiply
    206,539.70x = 309,809.55 × 183,989.30
  4. Step 4: Simplify right side
    206,539.70x = 57,001,642,237.82
  5. Step 5: Solve for x
    x = 57,001,642,237.82/206,539.70
  6. Step 6: Final answer
    x = 275,983.95

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1.5x scale

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.