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Finding the Fourth Proportional to 231,812.60, 347,949.30 and 113,617.40

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Solution

The fourth proportional to 231,812.60, 347,949.30 and 113,617.40 is: 170,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,812.60 : 347,949.30 = 113,617.40 : x
  2. Step 2: Convert to fraction form
    231,812.60/347,949.30 = 113,617.40/x
  3. Step 3: Cross multiply
    231,812.60x = 347,949.30 × 113,617.40
  4. Step 4: Simplify right side
    231,812.60x = 39,533,094,797.82
  5. Step 5: Solve for x
    x = 39,533,094,797.82/231,812.60
  6. Step 6: Final answer
    x = 170,539.03

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Why These Related Problems?

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