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Finding the Fourth Proportional to 132,477.36, 182,809.68 and 78,766.80

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Solution

The fourth proportional to 132,477.36, 182,809.68 and 78,766.80 is: 108,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,477.36 : 182,809.68 = 78,766.80 : x
  2. Step 2: Convert to fraction form
    132,477.36/182,809.68 = 78,766.80/x
  3. Step 3: Cross multiply
    132,477.36x = 182,809.68 × 78,766.80
  4. Step 4: Simplify right side
    132,477.36x = 14,399,333,502.62
  5. Step 5: Solve for x
    x = 14,399,333,502.62/132,477.36
  6. Step 6: Final answer
    x = 108,692.79

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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.