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Finding the Fourth Proportional to 273,083.24, 409,349.43 and 112,938.11

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Solution

The fourth proportional to 273,083.24, 409,349.43 and 112,938.11 is: 169,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,083.24 : 409,349.43 = 112,938.11 : x
  2. Step 2: Convert to fraction form
    273,083.24/409,349.43 = 112,938.11/x
  3. Step 3: Cross multiply
    273,083.24x = 409,349.43 × 112,938.11
  4. Step 4: Simplify right side
    273,083.24x = 46,231,151,977.15
  5. Step 5: Solve for x
    x = 46,231,151,977.15/273,083.24
  6. Step 6: Final answer
    x = 169,293.26

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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.