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Finding the Fourth Proportional to 246,105, 369,193.14 and 77,568.36

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Solution

The fourth proportional to 246,105, 369,193.14 and 77,568.36 is: 116,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,105 : 369,193.14 = 77,568.36 : x
  2. Step 2: Convert to fraction form
    246,105/369,193.14 = 77,568.36/x
  3. Step 3: Cross multiply
    246,105x = 369,193.14 × 77,568.36
  4. Step 4: Simplify right side
    246,105x = 28,637,706,393.05
  5. Step 5: Solve for x
    x = 28,637,706,393.05/246,105
  6. Step 6: Final answer
    x = 116,363.77

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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.