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Finding the Fourth Proportional to 182,336, 251,624 and 102,848

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Solution

The fourth proportional to 182,336, 251,624 and 102,848 is: 141,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,336 : 251,624 = 102,848 : x
  2. Step 2: Convert to fraction form
    182,336/251,624 = 102,848/x
  3. Step 3: Cross multiply
    182,336x = 251,624 × 102,848
  4. Step 4: Simplify right side
    182,336x = 25,879,025,152
  5. Step 5: Solve for x
    x = 25,879,025,152/182,336
  6. Step 6: Final answer
    x = 141,930.42

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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.