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Finding the Fourth Proportional to 262,527.70, 394,083.15 and 144,429.70

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Solution

The fourth proportional to 262,527.70, 394,083.15 and 144,429.70 is: 216,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,527.70 : 394,083.15 = 144,429.70 : x
  2. Step 2: Convert to fraction form
    262,527.70/394,083.15 = 144,429.70/x
  3. Step 3: Cross multiply
    262,527.70x = 394,083.15 × 144,429.70
  4. Step 4: Simplify right side
    262,527.70x = 56,917,311,129.56
  5. Step 5: Solve for x
    x = 56,917,311,129.56/262,527.70
  6. Step 6: Final answer
    x = 216,804.97

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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.