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Finding the Fourth Proportional to 133,388.32, 184,132.56 and 83,112.16

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Solution

The fourth proportional to 133,388.32, 184,132.56 and 83,112.16 is: 114,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,388.32 : 184,132.56 = 83,112.16 : x
  2. Step 2: Convert to fraction form
    133,388.32/184,132.56 = 83,112.16/x
  3. Step 3: Cross multiply
    133,388.32x = 184,132.56 × 83,112.16
  4. Step 4: Simplify right side
    133,388.32x = 15,303,654,787.93
  5. Step 5: Solve for x
    x = 15,303,654,787.93/133,388.32
  6. Step 6: Final answer
    x = 114,730.10

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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.