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Finding the Fourth Proportional to 190,978.62, 263,458.35 and 127,234.86

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Solution

The fourth proportional to 190,978.62, 263,458.35 and 127,234.86 is: 175,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,978.62 : 263,458.35 = 127,234.86 : x
  2. Step 2: Convert to fraction form
    190,978.62/263,458.35 = 127,234.86/x
  3. Step 3: Cross multiply
    190,978.62x = 263,458.35 × 127,234.86
  4. Step 4: Simplify right side
    190,978.62x = 33,521,086,278.08
  5. Step 5: Solve for x
    x = 33,521,086,278.08/190,978.62
  6. Step 6: Final answer
    x = 175,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.