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Finding the Fourth Proportional to 214,707.49, 296,375.89 and 184,371.06

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Solution

The fourth proportional to 214,707.49, 296,375.89 and 184,371.06 is: 254,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,707.49 : 296,375.89 = 184,371.06 : x
  2. Step 2: Convert to fraction form
    214,707.49/296,375.89 = 184,371.06/x
  3. Step 3: Cross multiply
    214,707.49x = 296,375.89 × 184,371.06
  4. Step 4: Simplify right side
    214,707.49x = 54,643,136,997.74
  5. Step 5: Solve for x
    x = 54,643,136,997.74/214,707.49
  6. Step 6: Final answer
    x = 254,500.38

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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.