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Finding the Fourth Proportional to 214,376.22, 295,832.05 and 118,889.98

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Solution

The fourth proportional to 214,376.22, 295,832.05 and 118,889.98 is: 164,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,376.22 : 295,832.05 = 118,889.98 : x
  2. Step 2: Convert to fraction form
    214,376.22/295,832.05 = 118,889.98/x
  3. Step 3: Cross multiply
    214,376.22x = 295,832.05 × 118,889.98
  4. Step 4: Simplify right side
    214,376.22x = 35,171,465,471.05
  5. Step 5: Solve for x
    x = 35,171,465,471.05/214,376.22
  6. Step 6: Final answer
    x = 164,064.21

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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.