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Finding the Fourth Proportional to 264,684.76, 365,264.26 and 143,826.04

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Solution

The fourth proportional to 264,684.76, 365,264.26 and 143,826.04 is: 198,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,684.76 : 365,264.26 = 143,826.04 : x
  2. Step 2: Convert to fraction form
    264,684.76/365,264.26 = 143,826.04/x
  3. Step 3: Cross multiply
    264,684.76x = 365,264.26 × 143,826.04
  4. Step 4: Simplify right side
    264,684.76x = 52,534,512,069.33
  5. Step 5: Solve for x
    x = 52,534,512,069.33/264,684.76
  6. Step 6: Final answer
    x = 198,479.55

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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.