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Finding the Fourth Proportional to 180,025.92, 270,043.20 and 55,368

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Solution

The fourth proportional to 180,025.92, 270,043.20 and 55,368 is: 83,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,025.92 : 270,043.20 = 55,368 : x
  2. Step 2: Convert to fraction form
    180,025.92/270,043.20 = 55,368/x
  3. Step 3: Cross multiply
    180,025.92x = 270,043.20 × 55,368
  4. Step 4: Simplify right side
    180,025.92x = 14,951,751,897.60
  5. Step 5: Solve for x
    x = 14,951,751,897.60/180,025.92
  6. Step 6: Final answer
    x = 83,053.33

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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.