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Finding the Fourth Proportional to 136,192.38, 187,803.32 and 82,457.79

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Solution

The fourth proportional to 136,192.38, 187,803.32 and 82,457.79 is: 113,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192.38 : 187,803.32 = 82,457.79 : x
  2. Step 2: Convert to fraction form
    136,192.38/187,803.32 = 82,457.79/x
  3. Step 3: Cross multiply
    136,192.38x = 187,803.32 × 82,457.79
  4. Step 4: Simplify right side
    136,192.38x = 15,485,846,721.86
  5. Step 5: Solve for x
    x = 15,485,846,721.86/136,192.38
  6. Step 6: Final answer
    x = 113,705.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.