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Finding the Fourth Proportional to 180,302.76, 270,433.44 and 47,195.91

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Solution

The fourth proportional to 180,302.76, 270,433.44 and 47,195.91 is: 70,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,302.76 : 270,433.44 = 47,195.91 : x
  2. Step 2: Convert to fraction form
    180,302.76/270,433.44 = 47,195.91/x
  3. Step 3: Cross multiply
    180,302.76x = 270,433.44 × 47,195.91
  4. Step 4: Simplify right side
    180,302.76x = 12,763,352,295.23
  5. Step 5: Solve for x
    x = 12,763,352,295.23/180,302.76
  6. Step 6: Final answer
    x = 70,788.45

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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.