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Finding the Fourth Proportional to 271,113.12, 406,747.44 and 105,017.76

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Solution

The fourth proportional to 271,113.12, 406,747.44 and 105,017.76 is: 157,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,113.12 : 406,747.44 = 105,017.76 : x
  2. Step 2: Convert to fraction form
    271,113.12/406,747.44 = 105,017.76/x
  3. Step 3: Cross multiply
    271,113.12x = 406,747.44 × 105,017.76
  4. Step 4: Simplify right side
    271,113.12x = 42,715,705,034.53
  5. Step 5: Solve for x
    x = 42,715,705,034.53/271,113.12
  6. Step 6: Final answer
    x = 157,556.76

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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.