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Finding the Fourth Proportional to 273,185.42, 409,544.39 and 104,826.56

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Solution

The fourth proportional to 273,185.42, 409,544.39 and 104,826.56 is: 157,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,185.42 : 409,544.39 = 104,826.56 : x
  2. Step 2: Convert to fraction form
    273,185.42/409,544.39 = 104,826.56/x
  3. Step 3: Cross multiply
    273,185.42x = 409,544.39 × 104,826.56
  4. Step 4: Simplify right side
    273,185.42x = 42,931,126,999.14
  5. Step 5: Solve for x
    x = 42,931,126,999.14/273,185.42
  6. Step 6: Final answer
    x = 157,150.14

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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.