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Finding the Fourth Proportional to 264,708.10, 397,061.14 and 75,168.48

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Solution

The fourth proportional to 264,708.10, 397,061.14 and 75,168.48 is: 112,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,708.10 : 397,061.14 = 75,168.48 : x
  2. Step 2: Convert to fraction form
    264,708.10/397,061.14 = 75,168.48/x
  3. Step 3: Cross multiply
    264,708.10x = 397,061.14 × 75,168.48
  4. Step 4: Simplify right side
    264,708.10x = 29,846,482,360.87
  5. Step 5: Solve for x
    x = 29,846,482,360.87/264,708.10
  6. Step 6: Final answer
    x = 112,752.43

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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.