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Finding the Fourth Proportional to 253,788.96, 380,535.88 and 96,029.60

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Solution

The fourth proportional to 253,788.96, 380,535.88 and 96,029.60 is: 143,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,788.96 : 380,535.88 = 96,029.60 : x
  2. Step 2: Convert to fraction form
    253,788.96/380,535.88 = 96,029.60/x
  3. Step 3: Cross multiply
    253,788.96x = 380,535.88 × 96,029.60
  4. Step 4: Simplify right side
    253,788.96x = 36,542,708,342.05
  5. Step 5: Solve for x
    x = 36,542,708,342.05/253,788.96
  6. Step 6: Final answer
    x = 143,988.57

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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.