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Finding the Fourth Proportional to 193,833.24, 290,749.86 and 60,714.60

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Solution

The fourth proportional to 193,833.24, 290,749.86 and 60,714.60 is: 91,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,833.24 : 290,749.86 = 60,714.60 : x
  2. Step 2: Convert to fraction form
    193,833.24/290,749.86 = 60,714.60/x
  3. Step 3: Cross multiply
    193,833.24x = 290,749.86 × 60,714.60
  4. Step 4: Simplify right side
    193,833.24x = 17,652,761,449.96
  5. Step 5: Solve for x
    x = 17,652,761,449.96/193,833.24
  6. Step 6: Final answer
    x = 91,071.90

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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.