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Finding the Fourth Proportional to 133,601.32, 184,352.71 and 106,446.30

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Solution

The fourth proportional to 133,601.32, 184,352.71 and 106,446.30 is: 146,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,601.32 : 184,352.71 = 106,446.30 : x
  2. Step 2: Convert to fraction form
    133,601.32/184,352.71 = 106,446.30/x
  3. Step 3: Cross multiply
    133,601.32x = 184,352.71 × 106,446.30
  4. Step 4: Simplify right side
    133,601.32x = 19,623,664,153.61
  5. Step 5: Solve for x
    x = 19,623,664,153.61/133,601.32
  6. Step 6: Final answer
    x = 146,882.26

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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.