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Finding the Fourth Proportional to 164,398.17, 246,634.11 and 52,077.90

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Solution

The fourth proportional to 164,398.17, 246,634.11 and 52,077.90 is: 78,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,398.17 : 246,634.11 = 52,077.90 : x
  2. Step 2: Convert to fraction form
    164,398.17/246,634.11 = 52,077.90/x
  3. Step 3: Cross multiply
    164,398.17x = 246,634.11 × 52,077.90
  4. Step 4: Simplify right side
    164,398.17x = 12,844,186,517.17
  5. Step 5: Solve for x
    x = 12,844,186,517.17/164,398.17
  6. Step 6: Final answer
    x = 78,128.52

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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.