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Finding the Fourth Proportional to 243,850.66, 365,810.92 and 75,385.64

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Solution

The fourth proportional to 243,850.66, 365,810.92 and 75,385.64 is: 113,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,850.66 : 365,810.92 = 75,385.64 : x
  2. Step 2: Convert to fraction form
    243,850.66/365,810.92 = 75,385.64/x
  3. Step 3: Cross multiply
    243,850.66x = 365,810.92 × 75,385.64
  4. Step 4: Simplify right side
    243,850.66x = 27,576,891,049.25
  5. Step 5: Solve for x
    x = 27,576,891,049.25/243,850.66
  6. Step 6: Final answer
    x = 113,089.26

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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.