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Finding the Fourth Proportional to 142,093.72, 196,075.37 and 78,427.41

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Solution

The fourth proportional to 142,093.72, 196,075.37 and 78,427.41 is: 108,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,093.72 : 196,075.37 = 78,427.41 : x
  2. Step 2: Convert to fraction form
    142,093.72/196,075.37 = 78,427.41/x
  3. Step 3: Cross multiply
    142,093.72x = 196,075.37 × 78,427.41
  4. Step 4: Simplify right side
    142,093.72x = 15,377,683,728.01
  5. Step 5: Solve for x
    x = 15,377,683,728.01/142,093.72
  6. Step 6: Final answer
    x = 108,222.12

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