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Finding the Fourth Proportional to 189,314.70, 283,898.22 and 70,921.46

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Solution

The fourth proportional to 189,314.70, 283,898.22 and 70,921.46 is: 106,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,314.70 : 283,898.22 = 70,921.46 : x
  2. Step 2: Convert to fraction form
    189,314.70/283,898.22 = 70,921.46/x
  3. Step 3: Cross multiply
    189,314.70x = 283,898.22 × 70,921.46
  4. Step 4: Simplify right side
    189,314.70x = 20,134,476,253.80
  5. Step 5: Solve for x
    x = 20,134,476,253.80/189,314.70
  6. Step 6: Final answer
    x = 106,354.53

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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.