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Finding the Fourth Proportional to 202,855.98, 304,162.46 and 96,266.46

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Solution

The fourth proportional to 202,855.98, 304,162.46 and 96,266.46 is: 144,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,855.98 : 304,162.46 = 96,266.46 : x
  2. Step 2: Convert to fraction form
    202,855.98/304,162.46 = 96,266.46/x
  3. Step 3: Cross multiply
    202,855.98x = 304,162.46 × 96,266.46
  4. Step 4: Simplify right side
    202,855.98x = 29,280,643,289.09
  5. Step 5: Solve for x
    x = 29,280,643,289.09/202,855.98
  6. Step 6: Final answer
    x = 144,342.03

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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.