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Finding the Fourth Proportional to 189,534.57, 261,448.07 and 122,466.57

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Solution

The fourth proportional to 189,534.57, 261,448.07 and 122,466.57 is: 168,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,534.57 : 261,448.07 = 122,466.57 : x
  2. Step 2: Convert to fraction form
    189,534.57/261,448.07 = 122,466.57/x
  3. Step 3: Cross multiply
    189,534.57x = 261,448.07 × 122,466.57
  4. Step 4: Simplify right side
    189,534.57x = 32,018,647,753.69
  5. Step 5: Solve for x
    x = 32,018,647,753.69/189,534.57
  6. Step 6: Final answer
    x = 168,933.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.