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Finding the Fourth Proportional to 133,609.76, 184,411.72 and 83,299.04

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Solution

The fourth proportional to 133,609.76, 184,411.72 and 83,299.04 is: 114,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,609.76 : 184,411.72 = 83,299.04 : x
  2. Step 2: Convert to fraction form
    133,609.76/184,411.72 = 83,299.04/x
  3. Step 3: Cross multiply
    133,609.76x = 184,411.72 × 83,299.04
  4. Step 4: Simplify right side
    133,609.76x = 15,361,319,240.75
  5. Step 5: Solve for x
    x = 15,361,319,240.75/133,609.76
  6. Step 6: Final answer
    x = 114,971.54

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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.