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Finding the Fourth Proportional to 275,830.95, 413,745.81 and 73,427.10

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Solution

The fourth proportional to 275,830.95, 413,745.81 and 73,427.10 is: 110,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,830.95 : 413,745.81 = 73,427.10 : x
  2. Step 2: Convert to fraction form
    275,830.95/413,745.81 = 73,427.10/x
  3. Step 3: Cross multiply
    275,830.95x = 413,745.81 × 73,427.10
  4. Step 4: Simplify right side
    275,830.95x = 30,380,154,965.45
  5. Step 5: Solve for x
    x = 30,380,154,965.45/275,830.95
  6. Step 6: Final answer
    x = 110,140.49

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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.