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Finding the Fourth Proportional to 180,611.58, 270,828.05 and 105,750.57

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Solution

The fourth proportional to 180,611.58, 270,828.05 and 105,750.57 is: 158,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,611.58 : 270,828.05 = 105,750.57 : x
  2. Step 2: Convert to fraction form
    180,611.58/270,828.05 = 105,750.57/x
  3. Step 3: Cross multiply
    180,611.58x = 270,828.05 × 105,750.57
  4. Step 4: Simplify right side
    180,611.58x = 28,640,220,130.74
  5. Step 5: Solve for x
    x = 28,640,220,130.74/180,611.58
  6. Step 6: Final answer
    x = 158,573.55

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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.