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Finding the Fourth Proportional to 189,246.56, 283,915.44 and 70,918.94

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Solution

The fourth proportional to 189,246.56, 283,915.44 and 70,918.94 is: 106,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246.56 : 283,915.44 = 70,918.94 : x
  2. Step 2: Convert to fraction form
    189,246.56/283,915.44 = 70,918.94/x
  3. Step 3: Cross multiply
    189,246.56x = 283,915.44 × 70,918.94
  4. Step 4: Simplify right side
    189,246.56x = 20,134,982,054.43
  5. Step 5: Solve for x
    x = 20,134,982,054.43/189,246.56
  6. Step 6: Final answer
    x = 106,395.50

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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.