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Finding the Fourth Proportional to 206,712.76, 285,259.98 and 116,069.44

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Solution

The fourth proportional to 206,712.76, 285,259.98 and 116,069.44 is: 160,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.76 : 285,259.98 = 116,069.44 : x
  2. Step 2: Convert to fraction form
    206,712.76/285,259.98 = 116,069.44/x
  3. Step 3: Cross multiply
    206,712.76x = 285,259.98 × 116,069.44
  4. Step 4: Simplify right side
    206,712.76x = 33,109,966,133.01
  5. Step 5: Solve for x
    x = 33,109,966,133.01/206,712.76
  6. Step 6: Final answer
    x = 160,173.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.