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Finding the Fourth Proportional to 202,727.70, 304,243.02 and 76,492.44

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Solution

The fourth proportional to 202,727.70, 304,243.02 and 76,492.44 is: 114,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,727.70 : 304,243.02 = 76,492.44 : x
  2. Step 2: Convert to fraction form
    202,727.70/304,243.02 = 76,492.44/x
  3. Step 3: Cross multiply
    202,727.70x = 304,243.02 × 76,492.44
  4. Step 4: Simplify right side
    202,727.70x = 23,272,290,952.77
  5. Step 5: Solve for x
    x = 23,272,290,952.77/202,727.70
  6. Step 6: Final answer
    x = 114,795.81

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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.