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Finding the Fourth Proportional to 230,098.37, 345,184.96 and 68,008.87

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Solution

The fourth proportional to 230,098.37, 345,184.96 and 68,008.87 is: 102,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,098.37 : 345,184.96 = 68,008.87 : x
  2. Step 2: Convert to fraction form
    230,098.37/345,184.96 = 68,008.87/x
  3. Step 3: Cross multiply
    230,098.37x = 345,184.96 × 68,008.87
  4. Step 4: Simplify right side
    230,098.37x = 23,475,639,070.60
  5. Step 5: Solve for x
    x = 23,475,639,070.60/230,098.37
  6. Step 6: Final answer
    x = 102,024.36

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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.