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Finding the Fourth Proportional to 97,793.40, 146,733.30 and 45,175.80

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Solution

The fourth proportional to 97,793.40, 146,733.30 and 45,175.80 is: 67,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,793.40 : 146,733.30 = 45,175.80 : x
  2. Step 2: Convert to fraction form
    97,793.40/146,733.30 = 45,175.80/x
  3. Step 3: Cross multiply
    97,793.40x = 146,733.30 × 45,175.80
  4. Step 4: Simplify right side
    97,793.40x = 6,628,794,214.14
  5. Step 5: Solve for x
    x = 6,628,794,214.14/97,793.40
  6. Step 6: Final answer
    x = 67,783.66

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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.