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Finding the Fourth Proportional to 214,641.86, 296,190.94 and 119,141.03

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Solution

The fourth proportional to 214,641.86, 296,190.94 and 119,141.03 is: 164,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,641.86 : 296,190.94 = 119,141.03 : x
  2. Step 2: Convert to fraction form
    214,641.86/296,190.94 = 119,141.03/x
  3. Step 3: Cross multiply
    214,641.86x = 296,190.94 × 119,141.03
  4. Step 4: Simplify right side
    214,641.86x = 35,288,493,668.27
  5. Step 5: Solve for x
    x = 35,288,493,668.27/214,641.86
  6. Step 6: Final answer
    x = 164,406.39

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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.