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Finding the Fourth Proportional to 271,674.77, 407,499.00 and 103,181.94

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Solution

The fourth proportional to 271,674.77, 407,499.00 and 103,181.94 is: 154,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674.77 : 407,499.00 = 103,181.94 : x
  2. Step 2: Convert to fraction form
    271,674.77/407,499.00 = 103,181.94/x
  3. Step 3: Cross multiply
    271,674.77x = 407,499.00 × 103,181.94
  4. Step 4: Simplify right side
    271,674.77x = 42,046,539,283.59
  5. Step 5: Solve for x
    x = 42,046,539,283.59/271,674.77
  6. Step 6: Final answer
    x = 154,767.92

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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.