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Finding the Fourth Proportional to 230,606.06, 345,745.71 and 102,451.95

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Solution

The fourth proportional to 230,606.06, 345,745.71 and 102,451.95 is: 153,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,606.06 : 345,745.71 = 102,451.95 : x
  2. Step 2: Convert to fraction form
    230,606.06/345,745.71 = 102,451.95/x
  3. Step 3: Cross multiply
    230,606.06x = 345,745.71 × 102,451.95
  4. Step 4: Simplify right side
    230,606.06x = 35,422,322,193.63
  5. Step 5: Solve for x
    x = 35,422,322,193.63/230,606.06
  6. Step 6: Final answer
    x = 153,605.34

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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.