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Finding the Fourth Proportional to 163,930.80, 245,896.20 and 153,433.20

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Solution

The fourth proportional to 163,930.80, 245,896.20 and 153,433.20 is: 230,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,930.80 : 245,896.20 = 153,433.20 : x
  2. Step 2: Convert to fraction form
    163,930.80/245,896.20 = 153,433.20/x
  3. Step 3: Cross multiply
    163,930.80x = 245,896.20 × 153,433.20
  4. Step 4: Simplify right side
    163,930.80x = 37,728,640,833.84
  5. Step 5: Solve for x
    x = 37,728,640,833.84/163,930.80
  6. Step 6: Final answer
    x = 230,149.80

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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.