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Finding the Fourth Proportional to 262,767.04, 394,147.68 and 75,772.48

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Solution

The fourth proportional to 262,767.04, 394,147.68 and 75,772.48 is: 113,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,767.04 : 394,147.68 = 75,772.48 : x
  2. Step 2: Convert to fraction form
    262,767.04/394,147.68 = 75,772.48/x
  3. Step 3: Cross multiply
    262,767.04x = 394,147.68 × 75,772.48
  4. Step 4: Simplify right side
    262,767.04x = 29,865,547,199.85
  5. Step 5: Solve for x
    x = 29,865,547,199.85/262,767.04
  6. Step 6: Final answer
    x = 113,657.89

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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.