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Finding the Fourth Proportional to 274,421.66, 411,395.90 and 106,060.10

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Solution

The fourth proportional to 274,421.66, 411,395.90 and 106,060.10 is: 158,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,421.66 : 411,395.90 = 106,060.10 : x
  2. Step 2: Convert to fraction form
    274,421.66/411,395.90 = 106,060.10/x
  3. Step 3: Cross multiply
    274,421.66x = 411,395.90 × 106,060.10
  4. Step 4: Simplify right side
    274,421.66x = 43,632,690,293.59
  5. Step 5: Solve for x
    x = 43,632,690,293.59/274,421.66
  6. Step 6: Final answer
    x = 158,998.71

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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.