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Finding the Fourth Proportional to 204,101.70, 306,079.65 and 70,986.30

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Solution

The fourth proportional to 204,101.70, 306,079.65 and 70,986.30 is: 106,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,101.70 : 306,079.65 = 70,986.30 : x
  2. Step 2: Convert to fraction form
    204,101.70/306,079.65 = 70,986.30/x
  3. Step 3: Cross multiply
    204,101.70x = 306,079.65 × 70,986.30
  4. Step 4: Simplify right side
    204,101.70x = 21,727,461,858.80
  5. Step 5: Solve for x
    x = 21,727,461,858.80/204,101.70
  6. Step 6: Final answer
    x = 106,454.10

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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.