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Finding the Fourth Proportional to 180,131.40, 270,051.24 and 75,029.04

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Solution

The fourth proportional to 180,131.40, 270,051.24 and 75,029.04 is: 112,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,131.40 : 270,051.24 = 75,029.04 : x
  2. Step 2: Convert to fraction form
    180,131.40/270,051.24 = 75,029.04/x
  3. Step 3: Cross multiply
    180,131.40x = 270,051.24 × 75,029.04
  4. Step 4: Simplify right side
    180,131.40x = 20,261,685,288.01
  5. Step 5: Solve for x
    x = 20,261,685,288.01/180,131.40
  6. Step 6: Final answer
    x = 112,482.81

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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.