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Finding the Fourth Proportional to 133,509, 184,242.60 and 83,208

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Solution

The fourth proportional to 133,509, 184,242.60 and 83,208 is: 114,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509 : 184,242.60 = 83,208 : x
  2. Step 2: Convert to fraction form
    133,509/184,242.60 = 83,208/x
  3. Step 3: Cross multiply
    133,509x = 184,242.60 × 83,208
  4. Step 4: Simplify right side
    133,509x = 15,330,458,260.80
  5. Step 5: Solve for x
    x = 15,330,458,260.80/133,509
  6. Step 6: Final answer
    x = 114,827.15

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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.