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Finding the Fourth Proportional to 180,492.33, 270,761.67 and 84,362.40

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Solution

The fourth proportional to 180,492.33, 270,761.67 and 84,362.40 is: 126,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,492.33 : 270,761.67 = 84,362.40 : x
  2. Step 2: Convert to fraction form
    180,492.33/270,761.67 = 84,362.40/x
  3. Step 3: Cross multiply
    180,492.33x = 270,761.67 × 84,362.40
  4. Step 4: Simplify right side
    180,492.33x = 22,842,104,309.21
  5. Step 5: Solve for x
    x = 22,842,104,309.21/180,492.33
  6. Step 6: Final answer
    x = 126,554.43

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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.