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Finding the Fourth Proportional to 82,095.90, 122,903.89 and 74,216.53

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Solution

The fourth proportional to 82,095.90, 122,903.89 and 74,216.53 is: 111,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095.90 : 122,903.89 = 74,216.53 : x
  2. Step 2: Convert to fraction form
    82,095.90/122,903.89 = 74,216.53/x
  3. Step 3: Cross multiply
    82,095.90x = 122,903.89 × 74,216.53
  4. Step 4: Simplify right side
    82,095.90x = 9,121,500,239.30
  5. Step 5: Solve for x
    x = 9,121,500,239.30/82,095.90
  6. Step 6: Final answer
    x = 111,107.87

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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.