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Finding the Fourth Proportional to 214,241.94, 295,663.56 and 122,369.28

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Solution

The fourth proportional to 214,241.94, 295,663.56 and 122,369.28 is: 168,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,241.94 : 295,663.56 = 122,369.28 : x
  2. Step 2: Convert to fraction form
    214,241.94/295,663.56 = 122,369.28/x
  3. Step 3: Cross multiply
    214,241.94x = 295,663.56 × 122,369.28
  4. Step 4: Simplify right side
    214,241.94x = 36,180,136,959.44
  5. Step 5: Solve for x
    x = 36,180,136,959.44/214,241.94
  6. Step 6: Final answer
    x = 168,875.14

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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.