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Finding the Fourth Proportional to 189,260.84, 283,880.06 and 70,922.28

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Solution

The fourth proportional to 189,260.84, 283,880.06 and 70,922.28 is: 106,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,260.84 : 283,880.06 = 70,922.28 : x
  2. Step 2: Convert to fraction form
    189,260.84/283,880.06 = 70,922.28/x
  3. Step 3: Cross multiply
    189,260.84x = 283,880.06 × 70,922.28
  4. Step 4: Simplify right side
    189,260.84x = 20,133,421,101.74
  5. Step 5: Solve for x
    x = 20,133,421,101.74/189,260.84
  6. Step 6: Final answer
    x = 106,379.22

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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.