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Finding the Fourth Proportional to 231,431.42, 319,358.76 and 129,451.52

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Solution

The fourth proportional to 231,431.42, 319,358.76 and 129,451.52 is: 178,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,431.42 : 319,358.76 = 129,451.52 : x
  2. Step 2: Convert to fraction form
    231,431.42/319,358.76 = 129,451.52/x
  3. Step 3: Cross multiply
    231,431.42x = 319,358.76 × 129,451.52
  4. Step 4: Simplify right side
    231,431.42x = 41,341,476,907.32
  5. Step 5: Solve for x
    x = 41,341,476,907.32/231,431.42
  6. Step 6: Final answer
    x = 178,633.81

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