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Finding the Fourth Proportional to 121,451.88, 182,183.40 and 37,206

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Solution

The fourth proportional to 121,451.88, 182,183.40 and 37,206 is: 55,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,451.88 : 182,183.40 = 37,206 : x
  2. Step 2: Convert to fraction form
    121,451.88/182,183.40 = 37,206/x
  3. Step 3: Cross multiply
    121,451.88x = 182,183.40 × 37,206
  4. Step 4: Simplify right side
    121,451.88x = 6,778,315,580.40
  5. Step 5: Solve for x
    x = 6,778,315,580.40/121,451.88
  6. Step 6: Final answer
    x = 55,810.71

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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.