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Finding the Fourth Proportional to 133,626.38, 184,419.93 and 77,039.78

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Solution

The fourth proportional to 133,626.38, 184,419.93 and 77,039.78 is: 106,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,626.38 : 184,419.93 = 77,039.78 : x
  2. Step 2: Convert to fraction form
    133,626.38/184,419.93 = 77,039.78/x
  3. Step 3: Cross multiply
    133,626.38x = 184,419.93 × 77,039.78
  4. Step 4: Simplify right side
    133,626.38x = 14,207,670,834.82
  5. Step 5: Solve for x
    x = 14,207,670,834.82/133,626.38
  6. Step 6: Final answer
    x = 106,323.85

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Why These Related Problems?

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