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Finding the Fourth Proportional to 180,024.96, 270,078.66 and 61,696.20

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Solution

The fourth proportional to 180,024.96, 270,078.66 and 61,696.20 is: 92,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,024.96 : 270,078.66 = 61,696.20 : x
  2. Step 2: Convert to fraction form
    180,024.96/270,078.66 = 61,696.20/x
  3. Step 3: Cross multiply
    180,024.96x = 270,078.66 × 61,696.20
  4. Step 4: Simplify right side
    180,024.96x = 16,662,827,023.09
  5. Step 5: Solve for x
    x = 16,662,827,023.09/180,024.96
  6. Step 6: Final answer
    x = 92,558.43

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Why These Related Problems?

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