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Finding the Fourth Proportional to 140,321.84, 193,647.94 and 83,766.04

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Solution

The fourth proportional to 140,321.84, 193,647.94 and 83,766.04 is: 115,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.84 : 193,647.94 = 83,766.04 : x
  2. Step 2: Convert to fraction form
    140,321.84/193,647.94 = 83,766.04/x
  3. Step 3: Cross multiply
    140,321.84x = 193,647.94 × 83,766.04
  4. Step 4: Simplify right side
    140,321.84x = 16,221,121,087.96
  5. Step 5: Solve for x
    x = 16,221,121,087.96/140,321.84
  6. Step 6: Final answer
    x = 115,599.40

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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.