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Finding the Fourth Proportional to 271,233.64, 406,794.85 and 102,695.82

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Solution

The fourth proportional to 271,233.64, 406,794.85 and 102,695.82 is: 154,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,233.64 : 406,794.85 = 102,695.82 : x
  2. Step 2: Convert to fraction form
    271,233.64/406,794.85 = 102,695.82/x
  3. Step 3: Cross multiply
    271,233.64x = 406,794.85 × 102,695.82
  4. Step 4: Simplify right side
    271,233.64x = 41,776,130,692.53
  5. Step 5: Solve for x
    x = 41,776,130,692.53/271,233.64
  6. Step 6: Final answer
    x = 154,022.67

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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.