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Finding the Fourth Proportional to 180,321.98, 270,507.58 and 75,116.34

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Solution

The fourth proportional to 180,321.98, 270,507.58 and 75,116.34 is: 112,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,321.98 : 270,507.58 = 75,116.34 : x
  2. Step 2: Convert to fraction form
    180,321.98/270,507.58 = 75,116.34/x
  3. Step 3: Cross multiply
    180,321.98x = 270,507.58 × 75,116.34
  4. Step 4: Simplify right side
    180,321.98x = 20,319,540,037.63
  5. Step 5: Solve for x
    x = 20,319,540,037.63/180,321.98
  6. Step 6: Final answer
    x = 112,684.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.