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Finding the Fourth Proportional to 127,357.52, 190,992.53 and 48,494.30

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Solution

The fourth proportional to 127,357.52, 190,992.53 and 48,494.30 is: 72,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,357.52 : 190,992.53 = 48,494.30 : x
  2. Step 2: Convert to fraction form
    127,357.52/190,992.53 = 48,494.30/x
  3. Step 3: Cross multiply
    127,357.52x = 190,992.53 × 48,494.30
  4. Step 4: Simplify right side
    127,357.52x = 9,262,048,213.85
  5. Step 5: Solve for x
    x = 9,262,048,213.85/127,357.52
  6. Step 6: Final answer
    x = 72,724.79

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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.