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Finding the Fourth Proportional to 121,428.84, 182,164.30 and 37,187

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Solution

The fourth proportional to 121,428.84, 182,164.30 and 37,187 is: 55,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,428.84 : 182,164.30 = 37,187 : x
  2. Step 2: Convert to fraction form
    121,428.84/182,164.30 = 37,187/x
  3. Step 3: Cross multiply
    121,428.84x = 182,164.30 × 37,187
  4. Step 4: Simplify right side
    121,428.84x = 6,774,143,824.10
  5. Step 5: Solve for x
    x = 6,774,143,824.10/121,428.84
  6. Step 6: Final answer
    x = 55,786.94

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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.