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Finding the Fourth Proportional to 121,434.84, 182,173.32 and 37,193

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Solution

The fourth proportional to 121,434.84, 182,173.32 and 37,193 is: 55,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434.84 : 182,173.32 = 37,193 : x
  2. Step 2: Convert to fraction form
    121,434.84/182,173.32 = 37,193/x
  3. Step 3: Cross multiply
    121,434.84x = 182,173.32 × 37,193
  4. Step 4: Simplify right side
    121,434.84x = 6,775,572,290.76
  5. Step 5: Solve for x
    x = 6,775,572,290.76/121,434.84
  6. Step 6: Final answer
    x = 55,795.95

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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.