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Finding the Fourth Proportional to 230,216.22, 345,321.90 and 89,973.63

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Solution

The fourth proportional to 230,216.22, 345,321.90 and 89,973.63 is: 134,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.22 : 345,321.90 = 89,973.63 : x
  2. Step 2: Convert to fraction form
    230,216.22/345,321.90 = 89,973.63/x
  3. Step 3: Cross multiply
    230,216.22x = 345,321.90 × 89,973.63
  4. Step 4: Simplify right side
    230,216.22x = 31,069,864,861.50
  5. Step 5: Solve for x
    x = 31,069,864,861.50/230,216.22
  6. Step 6: Final answer
    x = 134,959.50

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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.