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Finding the Fourth Proportional to 180,150.16, 270,006.80 and 132,321.84

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Solution

The fourth proportional to 180,150.16, 270,006.80 and 132,321.84 is: 198,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,150.16 : 270,006.80 = 132,321.84 : x
  2. Step 2: Convert to fraction form
    180,150.16/270,006.80 = 132,321.84/x
  3. Step 3: Cross multiply
    180,150.16x = 270,006.80 × 132,321.84
  4. Step 4: Simplify right side
    180,150.16x = 35,727,796,588.51
  5. Step 5: Solve for x
    x = 35,727,796,588.51/180,150.16
  6. Step 6: Final answer
    x = 198,322.31

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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.