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Finding the Fourth Proportional to 182,203.92, 251,447.64 and 105,717.24

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Solution

The fourth proportional to 182,203.92, 251,447.64 and 105,717.24 is: 145,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,203.92 : 251,447.64 = 105,717.24 : x
  2. Step 2: Convert to fraction form
    182,203.92/251,447.64 = 105,717.24/x
  3. Step 3: Cross multiply
    182,203.92x = 251,447.64 × 105,717.24
  4. Step 4: Simplify right side
    182,203.92x = 26,582,350,505.31
  5. Step 5: Solve for x
    x = 26,582,350,505.31/182,203.92
  6. Step 6: Final answer
    x = 145,893.41

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1.5x scale

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.