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Finding the Fourth Proportional to 136,523.36, 204,754.32 and 48,971.36

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Solution

The fourth proportional to 136,523.36, 204,754.32 and 48,971.36 is: 73,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,523.36 : 204,754.32 = 48,971.36 : x
  2. Step 2: Convert to fraction form
    136,523.36/204,754.32 = 48,971.36/x
  3. Step 3: Cross multiply
    136,523.36x = 204,754.32 × 48,971.36
  4. Step 4: Simplify right side
    136,523.36x = 10,027,097,516.28
  5. Step 5: Solve for x
    x = 10,027,097,516.28/136,523.36
  6. Step 6: Final answer
    x = 73,446.02

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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.