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Finding the Fourth Proportional to 214,687.79, 296,255.44 and 119,194.46

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Solution

The fourth proportional to 214,687.79, 296,255.44 and 119,194.46 is: 164,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,687.79 : 296,255.44 = 119,194.46 : x
  2. Step 2: Convert to fraction form
    214,687.79/296,255.44 = 119,194.46/x
  3. Step 3: Cross multiply
    214,687.79x = 296,255.44 × 119,194.46
  4. Step 4: Simplify right side
    214,687.79x = 35,312,007,192.86
  5. Step 5: Solve for x
    x = 35,312,007,192.86/214,687.79
  6. Step 6: Final answer
    x = 164,480.74

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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.