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Finding the Fourth Proportional to 180,195.07, 270,289.18 and 53,835.68

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Solution

The fourth proportional to 180,195.07, 270,289.18 and 53,835.68 is: 80,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,195.07 : 270,289.18 = 53,835.68 : x
  2. Step 2: Convert to fraction form
    180,195.07/270,289.18 = 53,835.68/x
  3. Step 3: Cross multiply
    180,195.07x = 270,289.18 × 53,835.68
  4. Step 4: Simplify right side
    180,195.07x = 14,551,201,801.94
  5. Step 5: Solve for x
    x = 14,551,201,801.94/180,195.07
  6. Step 6: Final answer
    x = 80,752.50

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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.