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Finding the Fourth Proportional to 271,920.19, 407,938.65 and 114,057.67

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Solution

The fourth proportional to 271,920.19, 407,938.65 and 114,057.67 is: 171,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920.19 : 407,938.65 = 114,057.67 : x
  2. Step 2: Convert to fraction form
    271,920.19/407,938.65 = 114,057.67/x
  3. Step 3: Cross multiply
    271,920.19x = 407,938.65 × 114,057.67
  4. Step 4: Simplify right side
    271,920.19x = 46,528,531,921.95
  5. Step 5: Solve for x
    x = 46,528,531,921.95/271,920.19
  6. Step 6: Final answer
    x = 171,110.99

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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.