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Finding the Fourth Proportional to 189,052.71, 283,662.47 and 100,284.46

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Solution

The fourth proportional to 189,052.71, 283,662.47 and 100,284.46 is: 150,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,052.71 : 283,662.47 = 100,284.46 : x
  2. Step 2: Convert to fraction form
    189,052.71/283,662.47 = 100,284.46/x
  3. Step 3: Cross multiply
    189,052.71x = 283,662.47 × 100,284.46
  4. Step 4: Simplify right side
    189,052.71x = 28,446,937,626.22
  5. Step 5: Solve for x
    x = 28,446,937,626.22/189,052.71
  6. Step 6: Final answer
    x = 150,470.93

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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.