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Finding the Fourth Proportional to 252,572.74, 378,930.19 and 110,430.50

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Solution

The fourth proportional to 252,572.74, 378,930.19 and 110,430.50 is: 165,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,572.74 : 378,930.19 = 110,430.50 : x
  2. Step 2: Convert to fraction form
    252,572.74/378,930.19 = 110,430.50/x
  3. Step 3: Cross multiply
    252,572.74x = 378,930.19 × 110,430.50
  4. Step 4: Simplify right side
    252,572.74x = 41,845,450,346.80
  5. Step 5: Solve for x
    x = 41,845,450,346.80/252,572.74
  6. Step 6: Final answer
    x = 165,676.83

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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.