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Finding the Fourth Proportional to 208,895.54, 313,356.63 and 59,147.64

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Solution

The fourth proportional to 208,895.54, 313,356.63 and 59,147.64 is: 88,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,895.54 : 313,356.63 = 59,147.64 : x
  2. Step 2: Convert to fraction form
    208,895.54/313,356.63 = 59,147.64/x
  3. Step 3: Cross multiply
    208,895.54x = 313,356.63 × 59,147.64
  4. Step 4: Simplify right side
    208,895.54x = 18,534,305,142.85
  5. Step 5: Solve for x
    x = 18,534,305,142.85/208,895.54
  6. Step 6: Final answer
    x = 88,725.23

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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.