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Finding the Fourth Proportional to 189,087.36, 283,680.24 and 70,768

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Solution

The fourth proportional to 189,087.36, 283,680.24 and 70,768 is: 106,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,087.36 : 283,680.24 = 70,768 : x
  2. Step 2: Convert to fraction form
    189,087.36/283,680.24 = 70,768/x
  3. Step 3: Cross multiply
    189,087.36x = 283,680.24 × 70,768
  4. Step 4: Simplify right side
    189,087.36x = 20,075,483,224.32
  5. Step 5: Solve for x
    x = 20,075,483,224.32/189,087.36
  6. Step 6: Final answer
    x = 106,170.41

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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.