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Finding the Fourth Proportional to 264,806.92, 397,085.52 and 96,208.36

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Solution

The fourth proportional to 264,806.92, 397,085.52 and 96,208.36 is: 144,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,806.92 : 397,085.52 = 96,208.36 : x
  2. Step 2: Convert to fraction form
    264,806.92/397,085.52 = 96,208.36/x
  3. Step 3: Cross multiply
    264,806.92x = 397,085.52 × 96,208.36
  4. Step 4: Simplify right side
    264,806.92x = 38,202,946,658.95
  5. Step 5: Solve for x
    x = 38,202,946,658.95/264,806.92
  6. Step 6: Final answer
    x = 144,267.18

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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.