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Finding the Fourth Proportional to 231,466.76, 319,447.94 and 140,829.16

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Solution

The fourth proportional to 231,466.76, 319,447.94 and 140,829.16 is: 194,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,466.76 : 319,447.94 = 140,829.16 : x
  2. Step 2: Convert to fraction form
    231,466.76/319,447.94 = 140,829.16/x
  3. Step 3: Cross multiply
    231,466.76x = 319,447.94 × 140,829.16
  4. Step 4: Simplify right side
    231,466.76x = 44,987,585,053.93
  5. Step 5: Solve for x
    x = 44,987,585,053.93/231,466.76
  6. Step 6: Final answer
    x = 194,358.73

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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.