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Finding the Fourth Proportional to 214,221.44, 295,614.20 and 123,572

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Solution

The fourth proportional to 214,221.44, 295,614.20 and 123,572 is: 170,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,221.44 : 295,614.20 = 123,572 : x
  2. Step 2: Convert to fraction form
    214,221.44/295,614.20 = 123,572/x
  3. Step 3: Cross multiply
    214,221.44x = 295,614.20 × 123,572
  4. Step 4: Simplify right side
    214,221.44x = 36,529,637,922.40
  5. Step 5: Solve for x
    x = 36,529,637,922.40/214,221.44
  6. Step 6: Final answer
    x = 170,522.79

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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.