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Finding the Fourth Proportional to 273,228.56, 409,827.96 and 104,829.68

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Solution

The fourth proportional to 273,228.56, 409,827.96 and 104,829.68 is: 157,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,228.56 : 409,827.96 = 104,829.68 : x
  2. Step 2: Convert to fraction form
    273,228.56/409,827.96 = 104,829.68/x
  3. Step 3: Cross multiply
    273,228.56x = 409,827.96 × 104,829.68
  4. Step 4: Simplify right side
    273,228.56x = 42,962,133,901.85
  5. Step 5: Solve for x
    x = 42,962,133,901.85/273,228.56
  6. Step 6: Final answer
    x = 157,238.81

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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.