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Finding the Fourth Proportional to 187,832.68, 280,093.49 and 186,148.20

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Solution

The fourth proportional to 187,832.68, 280,093.49 and 186,148.20 is: 277,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,832.68 : 280,093.49 = 186,148.20 : x
  2. Step 2: Convert to fraction form
    187,832.68/280,093.49 = 186,148.20/x
  3. Step 3: Cross multiply
    187,832.68x = 280,093.49 × 186,148.20
  4. Step 4: Simplify right side
    187,832.68x = 52,138,898,995.22
  5. Step 5: Solve for x
    x = 52,138,898,995.22/187,832.68
  6. Step 6: Final answer
    x = 277,581.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.