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Finding the Fourth Proportional to 180,132.40, 270,052.74 and 75,030.04

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Solution

The fourth proportional to 180,132.40, 270,052.74 and 75,030.04 is: 112,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132.40 : 270,052.74 = 75,030.04 : x
  2. Step 2: Convert to fraction form
    180,132.40/270,052.74 = 75,030.04/x
  3. Step 3: Cross multiply
    180,132.40x = 270,052.74 × 75,030.04
  4. Step 4: Simplify right side
    180,132.40x = 20,262,067,884.31
  5. Step 5: Solve for x
    x = 20,262,067,884.31/180,132.40
  6. Step 6: Final answer
    x = 112,484.31

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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.