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Finding the Fourth Proportional to 214,764.92, 296,375.82 and 119,271.80

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Solution

The fourth proportional to 214,764.92, 296,375.82 and 119,271.80 is: 164,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,764.92 : 296,375.82 = 119,271.80 : x
  2. Step 2: Convert to fraction form
    214,764.92/296,375.82 = 119,271.80/x
  3. Step 3: Cross multiply
    214,764.92x = 296,375.82 × 119,271.80
  4. Step 4: Simplify right side
    214,764.92x = 35,349,277,527.88
  5. Step 5: Solve for x
    x = 35,349,277,527.88/214,764.92
  6. Step 6: Final answer
    x = 164,595.21

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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.