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Finding the Fourth Proportional to 214,394.30, 295,882.31 and 118,931.75

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Solution

The fourth proportional to 214,394.30, 295,882.31 and 118,931.75 is: 164,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,394.30 : 295,882.31 = 118,931.75 : x
  2. Step 2: Convert to fraction form
    214,394.30/295,882.31 = 118,931.75/x
  3. Step 3: Cross multiply
    214,394.30x = 295,882.31 × 118,931.75
  4. Step 4: Simplify right side
    214,394.30x = 35,189,800,327.68
  5. Step 5: Solve for x
    x = 35,189,800,327.68/214,394.30
  6. Step 6: Final answer
    x = 164,135.90

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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.