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Finding the Fourth Proportional to 133,921.38, 184,838.85 and 77,325.06

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Solution

The fourth proportional to 133,921.38, 184,838.85 and 77,325.06 is: 106,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,921.38 : 184,838.85 = 77,325.06 : x
  2. Step 2: Convert to fraction form
    133,921.38/184,838.85 = 77,325.06/x
  3. Step 3: Cross multiply
    133,921.38x = 184,838.85 × 77,325.06
  4. Step 4: Simplify right side
    133,921.38x = 14,292,675,166.58
  5. Step 5: Solve for x
    x = 14,292,675,166.58/133,921.38
  6. Step 6: Final answer
    x = 106,724.37

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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.