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Finding the Fourth Proportional to 271,881.24, 407,597.31 and 119,970.15

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Solution

The fourth proportional to 271,881.24, 407,597.31 and 119,970.15 is: 179,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,881.24 : 407,597.31 = 119,970.15 : x
  2. Step 2: Convert to fraction form
    271,881.24/407,597.31 = 119,970.15/x
  3. Step 3: Cross multiply
    271,881.24x = 407,597.31 × 119,970.15
  4. Step 4: Simplify right side
    271,881.24x = 48,899,510,420.30
  5. Step 5: Solve for x
    x = 48,899,510,420.30/271,881.24
  6. Step 6: Final answer
    x = 179,856.14

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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.