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Finding the Fourth Proportional to 164,651.42, 247,089.32 and 75,905.66

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Solution

The fourth proportional to 164,651.42, 247,089.32 and 75,905.66 is: 113,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,651.42 : 247,089.32 = 75,905.66 : x
  2. Step 2: Convert to fraction form
    164,651.42/247,089.32 = 75,905.66/x
  3. Step 3: Cross multiply
    164,651.42x = 247,089.32 × 75,905.66
  4. Step 4: Simplify right side
    164,651.42x = 18,755,476,298.58
  5. Step 5: Solve for x
    x = 18,755,476,298.58/164,651.42
  6. Step 6: Final answer
    x = 113,910.20

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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.