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Finding the Fourth Proportional to 164,310.50, 246,370.65 and 64,353.66

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Solution

The fourth proportional to 164,310.50, 246,370.65 and 64,353.66 is: 96,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,310.50 : 246,370.65 = 64,353.66 : x
  2. Step 2: Convert to fraction form
    164,310.50/246,370.65 = 64,353.66/x
  3. Step 3: Cross multiply
    164,310.50x = 246,370.65 × 64,353.66
  4. Step 4: Simplify right side
    164,310.50x = 15,854,853,044.08
  5. Step 5: Solve for x
    x = 15,854,853,044.08/164,310.50
  6. Step 6: Final answer
    x = 96,493.25

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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.