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Finding the Fourth Proportional to 271,774.98, 375,059.16 and 150,918.30

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Solution

The fourth proportional to 271,774.98, 375,059.16 and 150,918.30 is: 208,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,774.98 : 375,059.16 = 150,918.30 : x
  2. Step 2: Convert to fraction form
    271,774.98/375,059.16 = 150,918.30/x
  3. Step 3: Cross multiply
    271,774.98x = 375,059.16 × 150,918.30
  4. Step 4: Simplify right side
    271,774.98x = 56,603,290,826.63
  5. Step 5: Solve for x
    x = 56,603,290,826.63/271,774.98
  6. Step 6: Final answer
    x = 208,272.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.