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Finding the Fourth Proportional to 231,241.60, 347,059.92 and 164,844.16

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Solution

The fourth proportional to 231,241.60, 347,059.92 and 164,844.16 is: 247,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,241.60 : 347,059.92 = 164,844.16 : x
  2. Step 2: Convert to fraction form
    231,241.60/347,059.92 = 164,844.16/x
  3. Step 3: Cross multiply
    231,241.60x = 347,059.92 × 164,844.16
  4. Step 4: Simplify right side
    231,241.60x = 57,210,800,982.07
  5. Step 5: Solve for x
    x = 57,210,800,982.07/231,241.60
  6. Step 6: Final answer
    x = 247,407.05

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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.