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Finding the Fourth Proportional to 202,906.62, 304,295.40 and 69,754.86

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Solution

The fourth proportional to 202,906.62, 304,295.40 and 69,754.86 is: 104,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,906.62 : 304,295.40 = 69,754.86 : x
  2. Step 2: Convert to fraction form
    202,906.62/304,295.40 = 69,754.86/x
  3. Step 3: Cross multiply
    202,906.62x = 304,295.40 × 69,754.86
  4. Step 4: Simplify right side
    202,906.62x = 21,226,083,025.64
  5. Step 5: Solve for x
    x = 21,226,083,025.64/202,906.62
  6. Step 6: Final answer
    x = 104,610.11

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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.