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Finding the Fourth Proportional to 231,641.60, 347,462.40 and 81,880.70

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Solution

The fourth proportional to 231,641.60, 347,462.40 and 81,880.70 is: 122,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,641.60 : 347,462.40 = 81,880.70 : x
  2. Step 2: Convert to fraction form
    231,641.60/347,462.40 = 81,880.70/x
  3. Step 3: Cross multiply
    231,641.60x = 347,462.40 × 81,880.70
  4. Step 4: Simplify right side
    231,641.60x = 28,450,464,535.68
  5. Step 5: Solve for x
    x = 28,450,464,535.68/231,641.60
  6. Step 6: Final answer
    x = 122,821.05

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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.