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Finding the Fourth Proportional to 271,908.30, 407,700.45 and 166,802.70

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Solution

The fourth proportional to 271,908.30, 407,700.45 and 166,802.70 is: 250,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908.30 : 407,700.45 = 166,802.70 : x
  2. Step 2: Convert to fraction form
    271,908.30/407,700.45 = 166,802.70/x
  3. Step 3: Cross multiply
    271,908.30x = 407,700.45 × 166,802.70
  4. Step 4: Simplify right side
    271,908.30x = 68,005,535,851.22
  5. Step 5: Solve for x
    x = 68,005,535,851.22/271,908.30
  6. Step 6: Final answer
    x = 250,104.67

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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.