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Finding the Fourth Proportional to 189,203, 283,224.92 and 122,510.44

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Solution

The fourth proportional to 189,203, 283,224.92 and 122,510.44 is: 183,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,203 : 283,224.92 = 122,510.44 : x
  2. Step 2: Convert to fraction form
    189,203/283,224.92 = 122,510.44/x
  3. Step 3: Cross multiply
    189,203x = 283,224.92 × 122,510.44
  4. Step 4: Simplify right side
    189,203x = 34,698,009,568.16
  5. Step 5: Solve for x
    x = 34,698,009,568.16/189,203
  6. Step 6: Final answer
    x = 183,390.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.