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Finding the Fourth Proportional to 230,599.27, 345,880.44 and 102,555.20

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Solution

The fourth proportional to 230,599.27, 345,880.44 and 102,555.20 is: 153,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,599.27 : 345,880.44 = 102,555.20 : x
  2. Step 2: Convert to fraction form
    230,599.27/345,880.44 = 102,555.20/x
  3. Step 3: Cross multiply
    230,599.27x = 345,880.44 × 102,555.20
  4. Step 4: Simplify right side
    230,599.27x = 35,471,837,267.94
  5. Step 5: Solve for x
    x = 35,471,837,267.94/230,599.27
  6. Step 6: Final answer
    x = 153,824.59

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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.