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Finding the Fourth Proportional to 183,857.94, 253,727.38 and 102,193.84

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Solution

The fourth proportional to 183,857.94, 253,727.38 and 102,193.84 is: 141,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,857.94 : 253,727.38 = 102,193.84 : x
  2. Step 2: Convert to fraction form
    183,857.94/253,727.38 = 102,193.84/x
  3. Step 3: Cross multiply
    183,857.94x = 253,727.38 × 102,193.84
  4. Step 4: Simplify right side
    183,857.94x = 25,929,375,275.34
  5. Step 5: Solve for x
    x = 25,929,375,275.34/183,857.94
  6. Step 6: Final answer
    x = 141,029.40

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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.