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Finding the Fourth Proportional to 180,642.33, 270,778.96 and 117,589.07

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Solution

The fourth proportional to 180,642.33, 270,778.96 and 117,589.07 is: 176,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642.33 : 270,778.96 = 117,589.07 : x
  2. Step 2: Convert to fraction form
    180,642.33/270,778.96 = 117,589.07/x
  3. Step 3: Cross multiply
    180,642.33x = 270,778.96 × 117,589.07
  4. Step 4: Simplify right side
    180,642.33x = 31,840,645,548.13
  5. Step 5: Solve for x
    x = 31,840,645,548.13/180,642.33
  6. Step 6: Final answer
    x = 176,263.48

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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.