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Finding the Fourth Proportional to 107,980.87, 149,014.57 and 59,584.95

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Solution

The fourth proportional to 107,980.87, 149,014.57 and 59,584.95 is: 82,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,980.87 : 149,014.57 = 59,584.95 : x
  2. Step 2: Convert to fraction form
    107,980.87/149,014.57 = 59,584.95/x
  3. Step 3: Cross multiply
    107,980.87x = 149,014.57 × 59,584.95
  4. Step 4: Simplify right side
    107,980.87x = 8,879,025,702.72
  5. Step 5: Solve for x
    x = 8,879,025,702.72/107,980.87
  6. Step 6: Final answer
    x = 82,227.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.