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Finding the Fourth Proportional to 246,083, 369,160.14 and 77,546.30

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Solution

The fourth proportional to 246,083, 369,160.14 and 77,546.30 is: 116,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,083 : 369,160.14 = 77,546.30 : x
  2. Step 2: Convert to fraction form
    246,083/369,160.14 = 77,546.30/x
  3. Step 3: Cross multiply
    246,083x = 369,160.14 × 77,546.30
  4. Step 4: Simplify right side
    246,083x = 28,627,002,964.48
  5. Step 5: Solve for x
    x = 28,627,002,964.48/246,083
  6. Step 6: Final answer
    x = 116,330.68

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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.