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Finding the Fourth Proportional to 180,152, 270,228.96 and 48,824

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Solution

The fourth proportional to 180,152, 270,228.96 and 48,824 is: 73,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152 : 270,228.96 = 48,824 : x
  2. Step 2: Convert to fraction form
    180,152/270,228.96 = 48,824/x
  3. Step 3: Cross multiply
    180,152x = 270,228.96 × 48,824
  4. Step 4: Simplify right side
    180,152x = 13,193,658,743.04
  5. Step 5: Solve for x
    x = 13,193,658,743.04/180,152
  6. Step 6: Final answer
    x = 73,236.26

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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.