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Finding the Fourth Proportional to 262,855.80, 394,339.86 and 96,643.80

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Solution

The fourth proportional to 262,855.80, 394,339.86 and 96,643.80 is: 144,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,855.80 : 394,339.86 = 96,643.80 : x
  2. Step 2: Convert to fraction form
    262,855.80/394,339.86 = 96,643.80/x
  3. Step 3: Cross multiply
    262,855.80x = 394,339.86 × 96,643.80
  4. Step 4: Simplify right side
    262,855.80x = 38,110,502,561.87
  5. Step 5: Solve for x
    x = 38,110,502,561.87/262,855.80
  6. Step 6: Final answer
    x = 144,986.35

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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.