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Finding the Fourth Proportional to 152,691.33, 228,926.28 and 102,647.31

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Solution

The fourth proportional to 152,691.33, 228,926.28 and 102,647.31 is: 153,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,691.33 : 228,926.28 = 102,647.31 : x
  2. Step 2: Convert to fraction form
    152,691.33/228,926.28 = 102,647.31/x
  3. Step 3: Cross multiply
    152,691.33x = 228,926.28 × 102,647.31
  4. Step 4: Simplify right side
    152,691.33x = 23,498,665,685.68
  5. Step 5: Solve for x
    x = 23,498,665,685.68/152,691.33
  6. Step 6: Final answer
    x = 153,896.53

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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.