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Finding the Fourth Proportional to 133,385.32, 184,128.42 and 83,109.16

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Solution

The fourth proportional to 133,385.32, 184,128.42 and 83,109.16 is: 114,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,385.32 : 184,128.42 = 83,109.16 : x
  2. Step 2: Convert to fraction form
    133,385.32/184,128.42 = 83,109.16/x
  3. Step 3: Cross multiply
    133,385.32x = 184,128.42 × 83,109.16
  4. Step 4: Simplify right side
    133,385.32x = 15,302,758,318.33
  5. Step 5: Solve for x
    x = 15,302,758,318.33/133,385.32
  6. Step 6: Final answer
    x = 114,725.96

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