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Finding the Fourth Proportional to 206,644.06, 309,670.07 and 117,713.95

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Solution

The fourth proportional to 206,644.06, 309,670.07 and 117,713.95 is: 176,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.06 : 309,670.07 = 117,713.95 : x
  2. Step 2: Convert to fraction form
    206,644.06/309,670.07 = 117,713.95/x
  3. Step 3: Cross multiply
    206,644.06x = 309,670.07 × 117,713.95
  4. Step 4: Simplify right side
    206,644.06x = 36,452,485,588.13
  5. Step 5: Solve for x
    x = 36,452,485,588.13/206,644.06
  6. Step 6: Final answer
    x = 176,402.30

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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.