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Finding the Fourth Proportional to 230,418.19, 345,685.61 and 97,229.89

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Solution

The fourth proportional to 230,418.19, 345,685.61 and 97,229.89 is: 145,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,418.19 : 345,685.61 = 97,229.89 : x
  2. Step 2: Convert to fraction form
    230,418.19/345,685.61 = 97,229.89/x
  3. Step 3: Cross multiply
    230,418.19x = 345,685.61 × 97,229.89
  4. Step 4: Simplify right side
    230,418.19x = 33,610,973,834.88
  5. Step 5: Solve for x
    x = 33,610,973,834.88/230,418.19
  6. Step 6: Final answer
    x = 145,869.45

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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.