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Finding the Fourth Proportional to 133,392.32, 184,138.08 and 83,116.16

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Solution

The fourth proportional to 133,392.32, 184,138.08 and 83,116.16 is: 114,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,392.32 : 184,138.08 = 83,116.16 : x
  2. Step 2: Convert to fraction form
    133,392.32/184,138.08 = 83,116.16/x
  3. Step 3: Cross multiply
    133,392.32x = 184,138.08 × 83,116.16
  4. Step 4: Simplify right side
    133,392.32x = 15,304,850,119.37
  5. Step 5: Solve for x
    x = 15,304,850,119.37/133,392.32
  6. Step 6: Final answer
    x = 114,735.62

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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.