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Finding the Fourth Proportional to 252,823.12, 379,289.42 and 75,344.42

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Solution

The fourth proportional to 252,823.12, 379,289.42 and 75,344.42 is: 113,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,823.12 : 379,289.42 = 75,344.42 : x
  2. Step 2: Convert to fraction form
    252,823.12/379,289.42 = 75,344.42/x
  3. Step 3: Cross multiply
    252,823.12x = 379,289.42 × 75,344.42
  4. Step 4: Simplify right side
    252,823.12x = 28,577,341,362.04
  5. Step 5: Solve for x
    x = 28,577,341,362.04/252,823.12
  6. Step 6: Final answer
    x = 113,032.94

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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.