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Finding the Fourth Proportional to 271,856.34, 407,692.17 and 103,336.11

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Solution

The fourth proportional to 271,856.34, 407,692.17 and 103,336.11 is: 154,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.34 : 407,692.17 = 103,336.11 : x
  2. Step 2: Convert to fraction form
    271,856.34/407,692.17 = 103,336.11/x
  3. Step 3: Cross multiply
    271,856.34x = 407,692.17 × 103,336.11
  4. Step 4: Simplify right side
    271,856.34x = 42,129,322,925.26
  5. Step 5: Solve for x
    x = 42,129,322,925.26/271,856.34
  6. Step 6: Final answer
    x = 154,969.07

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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.