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Finding the Fourth Proportional to 155,398.78, 233,098.17 and 102,795.97

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Solution

The fourth proportional to 155,398.78, 233,098.17 and 102,795.97 is: 154,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,398.78 : 233,098.17 = 102,795.97 : x
  2. Step 2: Convert to fraction form
    155,398.78/233,098.17 = 102,795.97/x
  3. Step 3: Cross multiply
    155,398.78x = 233,098.17 × 102,795.97
  4. Step 4: Simplify right side
    155,398.78x = 23,961,551,324.88
  5. Step 5: Solve for x
    x = 23,961,551,324.88/155,398.78
  6. Step 6: Final answer
    x = 154,193.95

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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.