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Finding the Fourth Proportional to 231,775.20, 347,662.80 and 113,464.80

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Solution

The fourth proportional to 231,775.20, 347,662.80 and 113,464.80 is: 170,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,775.20 : 347,662.80 = 113,464.80 : x
  2. Step 2: Convert to fraction form
    231,775.20/347,662.80 = 113,464.80/x
  3. Step 3: Cross multiply
    231,775.20x = 347,662.80 × 113,464.80
  4. Step 4: Simplify right side
    231,775.20x = 39,447,490,069.44
  5. Step 5: Solve for x
    x = 39,447,490,069.44/231,775.20
  6. Step 6: Final answer
    x = 170,197.20

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1.5x scale

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.