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Finding the Fourth Proportional to 214,472, 295,927.44 and 118,958.24

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Solution

The fourth proportional to 214,472, 295,927.44 and 118,958.24 is: 164,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,472 : 295,927.44 = 118,958.24 : x
  2. Step 2: Convert to fraction form
    214,472/295,927.44 = 118,958.24/x
  3. Step 3: Cross multiply
    214,472x = 295,927.44 × 118,958.24
  4. Step 4: Simplify right side
    214,472x = 35,203,007,430.11
  5. Step 5: Solve for x
    x = 35,203,007,430.11/214,472
  6. Step 6: Final answer
    x = 164,138.01

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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.