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Finding the Fourth Proportional to 234,416.23, 323,495.24 and 126,986.00

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Solution

The fourth proportional to 234,416.23, 323,495.24 and 126,986.00 is: 175,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,416.23 : 323,495.24 = 126,986.00 : x
  2. Step 2: Convert to fraction form
    234,416.23/323,495.24 = 126,986.00/x
  3. Step 3: Cross multiply
    234,416.23x = 323,495.24 × 126,986.00
  4. Step 4: Simplify right side
    234,416.23x = 41,079,364,294.23
  5. Step 5: Solve for x
    x = 41,079,364,294.23/234,416.23
  6. Step 6: Final answer
    x = 175,241.13

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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.