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Finding the Fourth Proportional to 180,361.50, 270,586.80 and 55,702.50

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Solution

The fourth proportional to 180,361.50, 270,586.80 and 55,702.50 is: 83,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,361.50 : 270,586.80 = 55,702.50 : x
  2. Step 2: Convert to fraction form
    180,361.50/270,586.80 = 55,702.50/x
  3. Step 3: Cross multiply
    180,361.50x = 270,586.80 × 55,702.50
  4. Step 4: Simplify right side
    180,361.50x = 15,072,361,227
  5. Step 5: Solve for x
    x = 15,072,361,227/180,361.50
  6. Step 6: Final answer
    x = 83,567.51

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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.