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Finding the Fourth Proportional to 253,770.32, 380,661.68 and 85,293.12

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Solution

The fourth proportional to 253,770.32, 380,661.68 and 85,293.12 is: 127,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,770.32 : 380,661.68 = 85,293.12 : x
  2. Step 2: Convert to fraction form
    253,770.32/380,661.68 = 85,293.12/x
  3. Step 3: Cross multiply
    253,770.32x = 380,661.68 × 85,293.12
  4. Step 4: Simplify right side
    253,770.32x = 32,467,822,351.64
  5. Step 5: Solve for x
    x = 32,467,822,351.64/253,770.32
  6. Step 6: Final answer
    x = 127,941.76

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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.