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Finding the Fourth Proportional to 180,245.46, 270,386.52 and 61,901.43

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Solution

The fourth proportional to 180,245.46, 270,386.52 and 61,901.43 is: 92,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,245.46 : 270,386.52 = 61,901.43 : x
  2. Step 2: Convert to fraction form
    180,245.46/270,386.52 = 61,901.43/x
  3. Step 3: Cross multiply
    180,245.46x = 270,386.52 × 61,901.43
  4. Step 4: Simplify right side
    180,245.46x = 16,737,312,240.72
  5. Step 5: Solve for x
    x = 16,737,312,240.72/180,245.46
  6. Step 6: Final answer
    x = 92,858.44

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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.