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Finding the Fourth Proportional to 243,866.12, 365,834.23 and 75,399.59

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Solution

The fourth proportional to 243,866.12, 365,834.23 and 75,399.59 is: 113,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,866.12 : 365,834.23 = 75,399.59 : x
  2. Step 2: Convert to fraction form
    243,866.12/365,834.23 = 75,399.59/x
  3. Step 3: Cross multiply
    243,866.12x = 365,834.23 × 75,399.59
  4. Step 4: Simplify right side
    243,866.12x = 27,583,749,120.79
  5. Step 5: Solve for x
    x = 27,583,749,120.79/243,866.12
  6. Step 6: Final answer
    x = 113,110.21

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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.