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Finding the Fourth Proportional to 271,181.64, 406,776.73 and 102,656.73

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Solution

The fourth proportional to 271,181.64, 406,776.73 and 102,656.73 is: 153,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,181.64 : 406,776.73 = 102,656.73 : x
  2. Step 2: Convert to fraction form
    271,181.64/406,776.73 = 102,656.73/x
  3. Step 3: Cross multiply
    271,181.64x = 406,776.73 × 102,656.73
  4. Step 4: Simplify right side
    271,181.64x = 41,758,368,941.89
  5. Step 5: Solve for x
    x = 41,758,368,941.89/271,181.64
  6. Step 6: Final answer
    x = 153,986.71

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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.