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Finding the Fourth Proportional to 206,808.44, 285,395.79 and 116,164.45

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Solution

The fourth proportional to 206,808.44, 285,395.79 and 116,164.45 is: 160,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808.44 : 285,395.79 = 116,164.45 : x
  2. Step 2: Convert to fraction form
    206,808.44/285,395.79 = 116,164.45/x
  3. Step 3: Cross multiply
    206,808.44x = 285,395.79 × 116,164.45
  4. Step 4: Simplify right side
    206,808.44x = 33,152,844,977.67
  5. Step 5: Solve for x
    x = 33,152,844,977.67/206,808.44
  6. Step 6: Final answer
    x = 160,307.02

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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.