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Finding the Fourth Proportional to 270,606.12, 405,861.66 and 83,619.24

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Solution

The fourth proportional to 270,606.12, 405,861.66 and 83,619.24 is: 125,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,606.12 : 405,861.66 = 83,619.24 : x
  2. Step 2: Convert to fraction form
    270,606.12/405,861.66 = 83,619.24/x
  3. Step 3: Cross multiply
    270,606.12x = 405,861.66 × 83,619.24
  4. Step 4: Simplify right side
    270,606.12x = 33,937,843,554.34
  5. Step 5: Solve for x
    x = 33,937,843,554.34/270,606.12
  6. Step 6: Final answer
    x = 125,414.18

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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.