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Finding the Fourth Proportional to 122,137.80, 183,232.86 and 37,896.15

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Solution

The fourth proportional to 122,137.80, 183,232.86 and 37,896.15 is: 56,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137.80 : 183,232.86 = 37,896.15 : x
  2. Step 2: Convert to fraction form
    122,137.80/183,232.86 = 37,896.15/x
  3. Step 3: Cross multiply
    122,137.80x = 183,232.86 × 37,896.15
  4. Step 4: Simplify right side
    122,137.80x = 6,943,819,947.49
  5. Step 5: Solve for x
    x = 6,943,819,947.49/122,137.80
  6. Step 6: Final answer
    x = 56,852.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.