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Finding the Fourth Proportional to 246,702.84, 340,456.14 and 151,262.16

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Solution

The fourth proportional to 246,702.84, 340,456.14 and 151,262.16 is: 208,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,702.84 : 340,456.14 = 151,262.16 : x
  2. Step 2: Convert to fraction form
    246,702.84/340,456.14 = 151,262.16/x
  3. Step 3: Cross multiply
    246,702.84x = 340,456.14 × 151,262.16
  4. Step 4: Simplify right side
    246,702.84x = 51,498,131,121.66
  5. Step 5: Solve for x
    x = 51,498,131,121.66/246,702.84
  6. Step 6: Final answer
    x = 208,745.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.