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Finding the Fourth Proportional to 231,663.22, 347,719.53 and 111,804.52

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Solution

The fourth proportional to 231,663.22, 347,719.53 and 111,804.52 is: 167,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,663.22 : 347,719.53 = 111,804.52 : x
  2. Step 2: Convert to fraction form
    231,663.22/347,719.53 = 111,804.52/x
  3. Step 3: Cross multiply
    231,663.22x = 347,719.53 × 111,804.52
  4. Step 4: Simplify right side
    231,663.22x = 38,876,615,146.28
  5. Step 5: Solve for x
    x = 38,876,615,146.28/231,663.22
  6. Step 6: Final answer
    x = 167,815.22

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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.