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Finding the Fourth Proportional to 208,315.74, 313,360.56 and 188,829.60

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Solution

The fourth proportional to 208,315.74, 313,360.56 and 188,829.60 is: 284,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.74 : 313,360.56 = 188,829.60 : x
  2. Step 2: Convert to fraction form
    208,315.74/313,360.56 = 188,829.60/x
  3. Step 3: Cross multiply
    208,315.74x = 313,360.56 × 188,829.60
  4. Step 4: Simplify right side
    208,315.74x = 59,171,749,200.58
  5. Step 5: Solve for x
    x = 59,171,749,200.58/208,315.74
  6. Step 6: Final answer
    x = 284,048.38

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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.