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Finding the Fourth Proportional to 271,675.77, 407,500.50 and 103,182.94

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Solution

The fourth proportional to 271,675.77, 407,500.50 and 103,182.94 is: 154,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,675.77 : 407,500.50 = 103,182.94 : x
  2. Step 2: Convert to fraction form
    271,675.77/407,500.50 = 103,182.94/x
  3. Step 3: Cross multiply
    271,675.77x = 407,500.50 × 103,182.94
  4. Step 4: Simplify right side
    271,675.77x = 42,047,099,641.47
  5. Step 5: Solve for x
    x = 42,047,099,641.47/271,675.77
  6. Step 6: Final answer
    x = 154,769.41

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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.