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Finding the Fourth Proportional to 264,807.45, 365,464.89 and 157,376.54

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Solution

The fourth proportional to 264,807.45, 365,464.89 and 157,376.54 is: 217,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.45 : 365,464.89 = 157,376.54 : x
  2. Step 2: Convert to fraction form
    264,807.45/365,464.89 = 157,376.54/x
  3. Step 3: Cross multiply
    264,807.45x = 365,464.89 × 157,376.54
  4. Step 4: Simplify right side
    264,807.45x = 57,515,598,052.36
  5. Step 5: Solve for x
    x = 57,515,598,052.36/264,807.45
  6. Step 6: Final answer
    x = 217,197.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.