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Finding the Fourth Proportional to 231,857.40, 347,850.90 and 113,532.60

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Solution

The fourth proportional to 231,857.40, 347,850.90 and 113,532.60 is: 170,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,857.40 : 347,850.90 = 113,532.60 : x
  2. Step 2: Convert to fraction form
    231,857.40/347,850.90 = 113,532.60/x
  3. Step 3: Cross multiply
    231,857.40x = 347,850.90 × 113,532.60
  4. Step 4: Simplify right side
    231,857.40x = 39,492,417,089.34
  5. Step 5: Solve for x
    x = 39,492,417,089.34/231,857.40
  6. Step 6: Final answer
    x = 170,330.63

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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.