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Finding the Fourth Proportional to 102,734.92, 154,146.93 and 36,222.58

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Solution

The fourth proportional to 102,734.92, 154,146.93 and 36,222.58 is: 54,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,734.92 : 154,146.93 = 36,222.58 : x
  2. Step 2: Convert to fraction form
    102,734.92/154,146.93 = 36,222.58/x
  3. Step 3: Cross multiply
    102,734.92x = 154,146.93 × 36,222.58
  4. Step 4: Simplify right side
    102,734.92x = 5,583,599,503.68
  5. Step 5: Solve for x
    x = 5,583,599,503.68/102,734.92
  6. Step 6: Final answer
    x = 54,349.58

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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.