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Finding the Fourth Proportional to 271,774.14, 407,409.70 and 103,243.92

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Solution

The fourth proportional to 271,774.14, 407,409.70 and 103,243.92 is: 154,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,774.14 : 407,409.70 = 103,243.92 : x
  2. Step 2: Convert to fraction form
    271,774.14/407,409.70 = 103,243.92/x
  3. Step 3: Cross multiply
    271,774.14x = 407,409.70 × 103,243.92
  4. Step 4: Simplify right side
    271,774.14x = 42,062,574,474.02
  5. Step 5: Solve for x
    x = 42,062,574,474.02/271,774.14
  6. Step 6: Final answer
    x = 154,770.33

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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.