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Finding the Fourth Proportional to 230,599.30, 345,965.93 and 95,638.62

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Solution

The fourth proportional to 230,599.30, 345,965.93 and 95,638.62 is: 143,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,599.30 : 345,965.93 = 95,638.62 : x
  2. Step 2: Convert to fraction form
    230,599.30/345,965.93 = 95,638.62/x
  3. Step 3: Cross multiply
    230,599.30x = 345,965.93 × 95,638.62
  4. Step 4: Simplify right side
    230,599.30x = 33,087,704,112.22
  5. Step 5: Solve for x
    x = 33,087,704,112.22/230,599.30
  6. Step 6: Final answer
    x = 143,485.71

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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.