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Finding the Fourth Proportional to 214,478.36, 295,956.12 and 118,961.12

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Solution

The fourth proportional to 214,478.36, 295,956.12 and 118,961.12 is: 164,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.36 : 295,956.12 = 118,961.12 : x
  2. Step 2: Convert to fraction form
    214,478.36/295,956.12 = 118,961.12/x
  3. Step 3: Cross multiply
    214,478.36x = 295,956.12 × 118,961.12
  4. Step 4: Simplify right side
    214,478.36x = 35,207,271,506.05
  5. Step 5: Solve for x
    x = 35,207,271,506.05/214,478.36
  6. Step 6: Final answer
    x = 164,153.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.