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Finding the Fourth Proportional to 214,709.64, 322,132.50 and 167,486.64

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Solution

The fourth proportional to 214,709.64, 322,132.50 and 167,486.64 is: 251,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.64 : 322,132.50 = 167,486.64 : x
  2. Step 2: Convert to fraction form
    214,709.64/322,132.50 = 167,486.64/x
  3. Step 3: Cross multiply
    214,709.64x = 322,132.50 × 167,486.64
  4. Step 4: Simplify right side
    214,709.64x = 53,952,890,059.80
  5. Step 5: Solve for x
    x = 53,952,890,059.80/214,709.64
  6. Step 6: Final answer
    x = 251,283.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.