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Finding the Fourth Proportional to 180,394.60, 270,594.96 and 54,005.44

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Solution

The fourth proportional to 180,394.60, 270,594.96 and 54,005.44 is: 81,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,394.60 : 270,594.96 = 54,005.44 : x
  2. Step 2: Convert to fraction form
    180,394.60/270,594.96 = 54,005.44/x
  3. Step 3: Cross multiply
    180,394.60x = 270,594.96 × 54,005.44
  4. Step 4: Simplify right side
    180,394.60x = 14,613,599,876.58
  5. Step 5: Solve for x
    x = 14,613,599,876.58/180,394.60
  6. Step 6: Final answer
    x = 81,009.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.