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Finding the Fourth Proportional to 204,003.70, 305,932.65 and 70,888.30

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Solution

The fourth proportional to 204,003.70, 305,932.65 and 70,888.30 is: 106,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003.70 : 305,932.65 = 70,888.30 : x
  2. Step 2: Convert to fraction form
    204,003.70/305,932.65 = 70,888.30/x
  3. Step 3: Cross multiply
    204,003.70x = 305,932.65 × 70,888.30
  4. Step 4: Simplify right side
    204,003.70x = 21,687,045,473.00
  5. Step 5: Solve for x
    x = 21,687,045,473.00/204,003.70
  6. Step 6: Final answer
    x = 106,307.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.