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Finding the Fourth Proportional to 180,509.54, 270,805.84 and 60,582.40

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Solution

The fourth proportional to 180,509.54, 270,805.84 and 60,582.40 is: 90,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.54 : 270,805.84 = 60,582.40 : x
  2. Step 2: Convert to fraction form
    180,509.54/270,805.84 = 60,582.40/x
  3. Step 3: Cross multiply
    180,509.54x = 270,805.84 × 60,582.40
  4. Step 4: Simplify right side
    180,509.54x = 16,406,067,721.22
  5. Step 5: Solve for x
    x = 16,406,067,721.22/180,509.54
  6. Step 6: Final answer
    x = 90,887.54

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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.