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Finding the Fourth Proportional to 301,123.26, 451,541.91 and 174,802.26

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Solution

The fourth proportional to 301,123.26, 451,541.91 and 174,802.26 is: 262,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.26 : 451,541.91 = 174,802.26 : x
  2. Step 2: Convert to fraction form
    301,123.26/451,541.91 = 174,802.26/x
  3. Step 3: Cross multiply
    301,123.26x = 451,541.91 × 174,802.26
  4. Step 4: Simplify right side
    301,123.26x = 78,930,546,352.72
  5. Step 5: Solve for x
    x = 78,930,546,352.72/301,123.26
  6. Step 6: Final answer
    x = 262,120.39

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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.