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Finding the Fourth Proportional to 185,172.64, 277,701.66 and 66,829

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Solution

The fourth proportional to 185,172.64, 277,701.66 and 66,829 is: 100,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,172.64 : 277,701.66 = 66,829 : x
  2. Step 2: Convert to fraction form
    185,172.64/277,701.66 = 66,829/x
  3. Step 3: Cross multiply
    185,172.64x = 277,701.66 × 66,829
  4. Step 4: Simplify right side
    185,172.64x = 18,558,524,236.14
  5. Step 5: Solve for x
    x = 18,558,524,236.14/185,172.64
  6. Step 6: Final answer
    x = 100,222.82

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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.