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Finding the Fourth Proportional to 271,180.64, 406,775.23 and 102,655.73

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Solution

The fourth proportional to 271,180.64, 406,775.23 and 102,655.73 is: 153,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,180.64 : 406,775.23 = 102,655.73 : x
  2. Step 2: Convert to fraction form
    271,180.64/406,775.23 = 102,655.73/x
  3. Step 3: Cross multiply
    271,180.64x = 406,775.23 × 102,655.73
  4. Step 4: Simplify right side
    271,180.64x = 41,757,808,941.87
  5. Step 5: Solve for x
    x = 41,757,808,941.87/271,180.64
  6. Step 6: Final answer
    x = 153,985.21

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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.