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Finding the Fourth Proportional to 189,073.44, 283,720.41 and 70,827.84

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Solution

The fourth proportional to 189,073.44, 283,720.41 and 70,827.84 is: 106,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,073.44 : 283,720.41 = 70,827.84 : x
  2. Step 2: Convert to fraction form
    189,073.44/283,720.41 = 70,827.84/x
  3. Step 3: Cross multiply
    189,073.44x = 283,720.41 × 70,827.84
  4. Step 4: Simplify right side
    189,073.44x = 20,095,303,804.21
  5. Step 5: Solve for x
    x = 20,095,303,804.21/189,073.44
  6. Step 6: Final answer
    x = 106,283.06

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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.