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Finding the Fourth Proportional to 208,826.84, 313,240.26 and 51,053.42

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Solution

The fourth proportional to 208,826.84, 313,240.26 and 51,053.42 is: 76,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,826.84 : 313,240.26 = 51,053.42 : x
  2. Step 2: Convert to fraction form
    208,826.84/313,240.26 = 51,053.42/x
  3. Step 3: Cross multiply
    208,826.84x = 313,240.26 × 51,053.42
  4. Step 4: Simplify right side
    208,826.84x = 15,991,986,554.69
  5. Step 5: Solve for x
    x = 15,991,986,554.69/208,826.84
  6. Step 6: Final answer
    x = 76,580.13

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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.