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Finding the Fourth Proportional to 271,677.77, 407,503.50 and 103,184.94

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Solution

The fourth proportional to 271,677.77, 407,503.50 and 103,184.94 is: 154,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,677.77 : 407,503.50 = 103,184.94 : x
  2. Step 2: Convert to fraction form
    271,677.77/407,503.50 = 103,184.94/x
  3. Step 3: Cross multiply
    271,677.77x = 407,503.50 × 103,184.94
  4. Step 4: Simplify right side
    271,677.77x = 42,048,224,197.29
  5. Step 5: Solve for x
    x = 42,048,224,197.29/271,677.77
  6. Step 6: Final answer
    x = 154,772.42

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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.