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Finding the Fourth Proportional to 182,107.92, 273,240.60 and 97,769.64

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Solution

The fourth proportional to 182,107.92, 273,240.60 and 97,769.64 is: 146,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,107.92 : 273,240.60 = 97,769.64 : x
  2. Step 2: Convert to fraction form
    182,107.92/273,240.60 = 97,769.64/x
  3. Step 3: Cross multiply
    182,107.92x = 273,240.60 × 97,769.64
  4. Step 4: Simplify right side
    182,107.92x = 26,714,635,095.38
  5. Step 5: Solve for x
    x = 26,714,635,095.38/182,107.92
  6. Step 6: Final answer
    x = 146,696.72

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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.