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Finding the Fourth Proportional to 411,135.02, 616,768.98 and 126,759

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Solution

The fourth proportional to 411,135.02, 616,768.98 and 126,759 is: 190,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,135.02 : 616,768.98 = 126,759 : x
  2. Step 2: Convert to fraction form
    411,135.02/616,768.98 = 126,759/x
  3. Step 3: Cross multiply
    411,135.02x = 616,768.98 × 126,759
  4. Step 4: Simplify right side
    411,135.02x = 78,181,019,135.82
  5. Step 5: Solve for x
    x = 78,181,019,135.82/411,135.02
  6. Step 6: Final answer
    x = 190,158.99

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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.