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Finding the Fourth Proportional to 230,223.74, 345,382.49 and 97,104.49

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Solution

The fourth proportional to 230,223.74, 345,382.49 and 97,104.49 is: 145,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,223.74 : 345,382.49 = 97,104.49 : x
  2. Step 2: Convert to fraction form
    230,223.74/345,382.49 = 97,104.49/x
  3. Step 3: Cross multiply
    230,223.74x = 345,382.49 × 97,104.49
  4. Step 4: Simplify right side
    230,223.74x = 33,538,190,060.86
  5. Step 5: Solve for x
    x = 33,538,190,060.86/230,223.74
  6. Step 6: Final answer
    x = 145,676.51

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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.