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Finding the Fourth Proportional to 133,381.72, 184,046.34 and 76,782.16

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Solution

The fourth proportional to 133,381.72, 184,046.34 and 76,782.16 is: 105,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,381.72 : 184,046.34 = 76,782.16 : x
  2. Step 2: Convert to fraction form
    133,381.72/184,046.34 = 76,782.16/x
  3. Step 3: Cross multiply
    133,381.72x = 184,046.34 × 76,782.16
  4. Step 4: Simplify right side
    133,381.72x = 14,131,475,525.29
  5. Step 5: Solve for x
    x = 14,131,475,525.29/133,381.72
  6. Step 6: Final answer
    x = 105,947.62

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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.