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Finding the Fourth Proportional to 264,963.32, 397,576.43 and 105,035.87

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Solution

The fourth proportional to 264,963.32, 397,576.43 and 105,035.87 is: 157,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,963.32 : 397,576.43 = 105,035.87 : x
  2. Step 2: Convert to fraction form
    264,963.32/397,576.43 = 105,035.87/x
  3. Step 3: Cross multiply
    264,963.32x = 397,576.43 × 105,035.87
  4. Step 4: Simplify right side
    264,963.32x = 41,759,786,216.54
  5. Step 5: Solve for x
    x = 41,759,786,216.54/264,963.32
  6. Step 6: Final answer
    x = 157,605.91

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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.