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Finding the Fourth Proportional to 182,684.46, 252,103.84 and 102,111.97

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Solution

The fourth proportional to 182,684.46, 252,103.84 and 102,111.97 is: 140,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,684.46 : 252,103.84 = 102,111.97 : x
  2. Step 2: Convert to fraction form
    182,684.46/252,103.84 = 102,111.97/x
  3. Step 3: Cross multiply
    182,684.46x = 252,103.84 × 102,111.97
  4. Step 4: Simplify right side
    182,684.46x = 25,742,819,199.46
  5. Step 5: Solve for x
    x = 25,742,819,199.46/182,684.46
  6. Step 6: Final answer
    x = 140,914.11

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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.