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Finding the Fourth Proportional to 271,907.30, 407,860.95 and 114,443.30

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Solution

The fourth proportional to 271,907.30, 407,860.95 and 114,443.30 is: 171,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,907.30 : 407,860.95 = 114,443.30 : x
  2. Step 2: Convert to fraction form
    271,907.30/407,860.95 = 114,443.30/x
  3. Step 3: Cross multiply
    271,907.30x = 407,860.95 × 114,443.30
  4. Step 4: Simplify right side
    271,907.30x = 46,676,953,059.14
  5. Step 5: Solve for x
    x = 46,676,953,059.14/271,907.30
  6. Step 6: Final answer
    x = 171,664.95

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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.