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Finding the Fourth Proportional to 264,838.83, 397,133.82 and 96,240.30

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Solution

The fourth proportional to 264,838.83, 397,133.82 and 96,240.30 is: 144,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,838.83 : 397,133.82 = 96,240.30 : x
  2. Step 2: Convert to fraction form
    264,838.83/397,133.82 = 96,240.30/x
  3. Step 3: Cross multiply
    264,838.83x = 397,133.82 × 96,240.30
  4. Step 4: Simplify right side
    264,838.83x = 38,220,277,976.95
  5. Step 5: Solve for x
    x = 38,220,277,976.95/264,838.83
  6. Step 6: Final answer
    x = 144,315.23

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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.