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Finding the Fourth Proportional to 235,964.40, 353,946.60 and 161,314.80

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Solution

The fourth proportional to 235,964.40, 353,946.60 and 161,314.80 is: 241,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,964.40 : 353,946.60 = 161,314.80 : x
  2. Step 2: Convert to fraction form
    235,964.40/353,946.60 = 161,314.80/x
  3. Step 3: Cross multiply
    235,964.40x = 353,946.60 × 161,314.80
  4. Step 4: Simplify right side
    235,964.40x = 57,096,824,989.68
  5. Step 5: Solve for x
    x = 57,096,824,989.68/235,964.40
  6. Step 6: Final answer
    x = 241,972.20

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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.