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Finding the Fourth Proportional to 123,189.21, 170,027.55 and 77,838.39

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Solution

The fourth proportional to 123,189.21, 170,027.55 and 77,838.39 is: 107,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,189.21 : 170,027.55 = 77,838.39 : x
  2. Step 2: Convert to fraction form
    123,189.21/170,027.55 = 77,838.39/x
  3. Step 3: Cross multiply
    123,189.21x = 170,027.55 × 77,838.39
  4. Step 4: Simplify right side
    123,189.21x = 13,234,670,747.64
  5. Step 5: Solve for x
    x = 13,234,670,747.64/123,189.21
  6. Step 6: Final answer
    x = 107,433.68

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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.