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Finding the Fourth Proportional to 205,897.44, 308,616.66 and 93,408.96

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Solution

The fourth proportional to 205,897.44, 308,616.66 and 93,408.96 is: 140,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,897.44 : 308,616.66 = 93,408.96 : x
  2. Step 2: Convert to fraction form
    205,897.44/308,616.66 = 93,408.96/x
  3. Step 3: Cross multiply
    205,897.44x = 308,616.66 × 93,408.96
  4. Step 4: Simplify right side
    205,897.44x = 28,827,561,249.27
  5. Step 5: Solve for x
    x = 28,827,561,249.27/205,897.44
  6. Step 6: Final answer
    x = 140,009.32

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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.