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Finding the Fourth Proportional to 264,858.29, 397,188.33 and 96,329.43

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Solution

The fourth proportional to 264,858.29, 397,188.33 and 96,329.43 is: 144,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,858.29 : 397,188.33 = 96,329.43 : x
  2. Step 2: Convert to fraction form
    264,858.29/397,188.33 = 96,329.43/x
  3. Step 3: Cross multiply
    264,858.29x = 397,188.33 × 96,329.43
  4. Step 4: Simplify right side
    264,858.29x = 38,260,925,431.55
  5. Step 5: Solve for x
    x = 38,260,925,431.55/264,858.29
  6. Step 6: Final answer
    x = 144,458.10

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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.