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Finding the Fourth Proportional to 180,111.39, 270,021.28 and 75,009.03

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Solution

The fourth proportional to 180,111.39, 270,021.28 and 75,009.03 is: 112,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,111.39 : 270,021.28 = 75,009.03 : x
  2. Step 2: Convert to fraction form
    180,111.39/270,021.28 = 75,009.03/x
  3. Step 3: Cross multiply
    180,111.39x = 270,021.28 × 75,009.03
  4. Step 4: Simplify right side
    180,111.39x = 20,254,034,292.16
  5. Step 5: Solve for x
    x = 20,254,034,292.16/180,111.39
  6. Step 6: Final answer
    x = 112,452.82

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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.