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Finding the Fourth Proportional to 123,035.82, 184,313.97 and 77,918.82

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Solution

The fourth proportional to 123,035.82, 184,313.97 and 77,918.82 is: 116,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,035.82 : 184,313.97 = 77,918.82 : x
  2. Step 2: Convert to fraction form
    123,035.82/184,313.97 = 77,918.82/x
  3. Step 3: Cross multiply
    123,035.82x = 184,313.97 × 77,918.82
  4. Step 4: Simplify right side
    123,035.82x = 14,361,527,051.92
  5. Step 5: Solve for x
    x = 14,361,527,051.92/123,035.82
  6. Step 6: Final answer
    x = 116,726.39

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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.