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Finding the Fourth Proportional to 133,513.49, 184,165.64 and 82,541.81

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Solution

The fourth proportional to 133,513.49, 184,165.64 and 82,541.81 is: 113,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.49 : 184,165.64 = 82,541.81 : x
  2. Step 2: Convert to fraction form
    133,513.49/184,165.64 = 82,541.81/x
  3. Step 3: Cross multiply
    133,513.49x = 184,165.64 × 82,541.81
  4. Step 4: Simplify right side
    133,513.49x = 15,201,363,931.87
  5. Step 5: Solve for x
    x = 15,201,363,931.87/133,513.49
  6. Step 6: Final answer
    x = 113,856.39

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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.