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Finding the Fourth Proportional to 68,151.96, 102,106.98 and 58,190.58

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Solution

The fourth proportional to 68,151.96, 102,106.98 and 58,190.58 is: 87,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,151.96 : 102,106.98 = 58,190.58 : x
  2. Step 2: Convert to fraction form
    68,151.96/102,106.98 = 58,190.58/x
  3. Step 3: Cross multiply
    68,151.96x = 102,106.98 × 58,190.58
  4. Step 4: Simplify right side
    68,151.96x = 5,941,664,388.25
  5. Step 5: Solve for x
    x = 5,941,664,388.25/68,151.96
  6. Step 6: Final answer
    x = 87,182.59

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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.