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Finding the Fourth Proportional to 119,172.78, 178,783.74 and 34,935.71

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Solution

The fourth proportional to 119,172.78, 178,783.74 and 34,935.71 is: 52,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,172.78 : 178,783.74 = 34,935.71 : x
  2. Step 2: Convert to fraction form
    119,172.78/178,783.74 = 34,935.71/x
  3. Step 3: Cross multiply
    119,172.78x = 178,783.74 × 34,935.71
  4. Step 4: Simplify right side
    119,172.78x = 6,245,935,999.44
  5. Step 5: Solve for x
    x = 6,245,935,999.44/119,172.78
  6. Step 6: Final answer
    x = 52,410.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.