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Finding the Fourth Proportional to 215,046.10, 322,459.80 and 126,326.80

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Solution

The fourth proportional to 215,046.10, 322,459.80 and 126,326.80 is: 189,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,046.10 : 322,459.80 = 126,326.80 : x
  2. Step 2: Convert to fraction form
    215,046.10/322,459.80 = 126,326.80/x
  3. Step 3: Cross multiply
    215,046.10x = 322,459.80 × 126,326.80
  4. Step 4: Simplify right side
    215,046.10x = 40,735,314,662.64
  5. Step 5: Solve for x
    x = 40,735,314,662.64/215,046.10
  6. Step 6: Final answer
    x = 189,425.96

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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.