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Finding the Fourth Proportional to 132,444.09, 182,771.73 and 78,027.87

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Solution

The fourth proportional to 132,444.09, 182,771.73 and 78,027.87 is: 107,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,444.09 : 182,771.73 = 78,027.87 : x
  2. Step 2: Convert to fraction form
    132,444.09/182,771.73 = 78,027.87/x
  3. Step 3: Cross multiply
    132,444.09x = 182,771.73 × 78,027.87
  4. Step 4: Simplify right side
    132,444.09x = 14,261,288,788.12
  5. Step 5: Solve for x
    x = 14,261,288,788.12/132,444.09
  6. Step 6: Final answer
    x = 107,677.80

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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.