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Finding the Fourth Proportional to 155,112.54, 232,659.54 and 55,267.44

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Solution

The fourth proportional to 155,112.54, 232,659.54 and 55,267.44 is: 82,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,112.54 : 232,659.54 = 55,267.44 : x
  2. Step 2: Convert to fraction form
    155,112.54/232,659.54 = 55,267.44/x
  3. Step 3: Cross multiply
    155,112.54x = 232,659.54 × 55,267.44
  4. Step 4: Simplify right side
    155,112.54x = 12,858,497,167.38
  5. Step 5: Solve for x
    x = 12,858,497,167.38/155,112.54
  6. Step 6: Final answer
    x = 82,897.86

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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.