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Finding the Fourth Proportional to 214,838.87, 296,467.58 and 119,351.39

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Solution

The fourth proportional to 214,838.87, 296,467.58 and 119,351.39 is: 164,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,838.87 : 296,467.58 = 119,351.39 : x
  2. Step 2: Convert to fraction form
    214,838.87/296,467.58 = 119,351.39/x
  3. Step 3: Cross multiply
    214,838.87x = 296,467.58 × 119,351.39
  4. Step 4: Simplify right side
    214,838.87x = 35,383,817,762.94
  5. Step 5: Solve for x
    x = 35,383,817,762.94/214,838.87
  6. Step 6: Final answer
    x = 164,699.33

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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.