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Finding the Fourth Proportional to 214,406.56, 295,899.21 and 118,944

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Solution

The fourth proportional to 214,406.56, 295,899.21 and 118,944 is: 164,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,406.56 : 295,899.21 = 118,944 : x
  2. Step 2: Convert to fraction form
    214,406.56/295,899.21 = 118,944/x
  3. Step 3: Cross multiply
    214,406.56x = 295,899.21 × 118,944
  4. Step 4: Simplify right side
    214,406.56x = 35,195,435,634.24
  5. Step 5: Solve for x
    x = 35,195,435,634.24/214,406.56
  6. Step 6: Final answer
    x = 164,152.79

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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.