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Finding the Fourth Proportional to 264,792.88, 397,064.49 and 96,194.32

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Solution

The fourth proportional to 264,792.88, 397,064.49 and 96,194.32 is: 144,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,792.88 : 397,064.49 = 96,194.32 : x
  2. Step 2: Convert to fraction form
    264,792.88/397,064.49 = 96,194.32/x
  3. Step 3: Cross multiply
    264,792.88x = 397,064.49 × 96,194.32
  4. Step 4: Simplify right side
    264,792.88x = 38,195,348,611.70
  5. Step 5: Solve for x
    x = 38,195,348,611.70/264,792.88
  6. Step 6: Final answer
    x = 144,246.13

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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.