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Finding the Fourth Proportional to 183,765.84, 253,609.46 and 102,103.94

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Solution

The fourth proportional to 183,765.84, 253,609.46 and 102,103.94 is: 140,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,765.84 : 253,609.46 = 102,103.94 : x
  2. Step 2: Convert to fraction form
    183,765.84/253,609.46 = 102,103.94/x
  3. Step 3: Cross multiply
    183,765.84x = 253,609.46 × 102,103.94
  4. Step 4: Simplify right side
    183,765.84x = 25,894,525,306.50
  5. Step 5: Solve for x
    x = 25,894,525,306.50/183,765.84
  6. Step 6: Final answer
    x = 140,910.44

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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.