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Finding the Fourth Proportional to 214,771.69, 296,376.78 and 119,284.51

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Solution

The fourth proportional to 214,771.69, 296,376.78 and 119,284.51 is: 164,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,771.69 : 296,376.78 = 119,284.51 : x
  2. Step 2: Convert to fraction form
    214,771.69/296,376.78 = 119,284.51/x
  3. Step 3: Cross multiply
    214,771.69x = 296,376.78 × 119,284.51
  4. Step 4: Simplify right side
    214,771.69x = 35,353,158,977.68
  5. Step 5: Solve for x
    x = 35,353,158,977.68/214,771.69
  6. Step 6: Final answer
    x = 164,608.10

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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.