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Finding the Fourth Proportional to 122,474.25, 183,711.51 and 48,602.25

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Solution

The fourth proportional to 122,474.25, 183,711.51 and 48,602.25 is: 72,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,474.25 : 183,711.51 = 48,602.25 : x
  2. Step 2: Convert to fraction form
    122,474.25/183,711.51 = 48,602.25/x
  3. Step 3: Cross multiply
    122,474.25x = 183,711.51 × 48,602.25
  4. Step 4: Simplify right side
    122,474.25x = 8,928,792,736.90
  5. Step 5: Solve for x
    x = 8,928,792,736.90/122,474.25
  6. Step 6: Final answer
    x = 72,903.43

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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.