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Finding the Fourth Proportional to 282,525.48, 423,787.82 and 72,163.48

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Solution

The fourth proportional to 282,525.48, 423,787.82 and 72,163.48 is: 108,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,525.48 : 423,787.82 = 72,163.48 : x
  2. Step 2: Convert to fraction form
    282,525.48/423,787.82 = 72,163.48/x
  3. Step 3: Cross multiply
    282,525.48x = 423,787.82 × 72,163.48
  4. Step 4: Simplify right side
    282,525.48x = 30,582,003,872.81
  5. Step 5: Solve for x
    x = 30,582,003,872.81/282,525.48
  6. Step 6: Final answer
    x = 108,245.12

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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.