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Finding the Fourth Proportional to 246,081, 369,157.14 and 77,544.30

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Solution

The fourth proportional to 246,081, 369,157.14 and 77,544.30 is: 116,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,081 : 369,157.14 = 77,544.30 : x
  2. Step 2: Convert to fraction form
    246,081/369,157.14 = 77,544.30/x
  3. Step 3: Cross multiply
    246,081x = 369,157.14 × 77,544.30
  4. Step 4: Simplify right side
    246,081x = 28,626,032,011.30
  5. Step 5: Solve for x
    x = 28,626,032,011.30/246,081
  6. Step 6: Final answer
    x = 116,327.68

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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.