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Finding the Fourth Proportional to 183,854.82, 275,527.08 and 83,770.41

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Solution

The fourth proportional to 183,854.82, 275,527.08 and 83,770.41 is: 125,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,854.82 : 275,527.08 = 83,770.41 : x
  2. Step 2: Convert to fraction form
    183,854.82/275,527.08 = 83,770.41/x
  3. Step 3: Cross multiply
    183,854.82x = 275,527.08 × 83,770.41
  4. Step 4: Simplify right side
    183,854.82x = 23,081,016,457.70
  5. Step 5: Solve for x
    x = 23,081,016,457.70/183,854.82
  6. Step 6: Final answer
    x = 125,539.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.