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Finding the Fourth Proportional to 180,032.69, 270,218.52 and 91,349.84

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Solution

The fourth proportional to 180,032.69, 270,218.52 and 91,349.84 is: 137,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,032.69 : 270,218.52 = 91,349.84 : x
  2. Step 2: Convert to fraction form
    180,032.69/270,218.52 = 91,349.84/x
  3. Step 3: Cross multiply
    180,032.69x = 270,218.52 × 91,349.84
  4. Step 4: Simplify right side
    180,032.69x = 24,684,417,215.94
  5. Step 5: Solve for x
    x = 24,684,417,215.94/180,032.69
  6. Step 6: Final answer
    x = 137,110.75

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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.