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Finding the Fourth Proportional to 231,539.20, 347,308.80 and 194,214.40

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Solution

The fourth proportional to 231,539.20, 347,308.80 and 194,214.40 is: 291,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,539.20 : 347,308.80 = 194,214.40 : x
  2. Step 2: Convert to fraction form
    231,539.20/347,308.80 = 194,214.40/x
  3. Step 3: Cross multiply
    231,539.20x = 347,308.80 × 194,214.40
  4. Step 4: Simplify right side
    231,539.20x = 67,452,370,206.72
  5. Step 5: Solve for x
    x = 67,452,370,206.72/231,539.20
  6. Step 6: Final answer
    x = 291,321.60

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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.