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Finding the Fourth Proportional to 264,751.61, 397,296.29 and 96,255.76

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Solution

The fourth proportional to 264,751.61, 397,296.29 and 96,255.76 is: 144,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,751.61 : 397,296.29 = 96,255.76 : x
  2. Step 2: Convert to fraction form
    264,751.61/397,296.29 = 96,255.76/x
  3. Step 3: Cross multiply
    264,751.61x = 397,296.29 × 96,255.76
  4. Step 4: Simplify right side
    264,751.61x = 38,242,056,331.46
  5. Step 5: Solve for x
    x = 38,242,056,331.46/264,751.61
  6. Step 6: Final answer
    x = 144,445.04

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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.