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Finding the Fourth Proportional to 180,642.56, 270,864.30 and 62,216.24

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Solution

The fourth proportional to 180,642.56, 270,864.30 and 62,216.24 is: 93,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642.56 : 270,864.30 = 62,216.24 : x
  2. Step 2: Convert to fraction form
    180,642.56/270,864.30 = 62,216.24/x
  3. Step 3: Cross multiply
    180,642.56x = 270,864.30 × 62,216.24
  4. Step 4: Simplify right side
    180,642.56x = 16,852,158,296.23
  5. Step 5: Solve for x
    x = 16,852,158,296.23/180,642.56
  6. Step 6: Final answer
    x = 93,290.08

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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.