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Finding the Fourth Proportional to 231,915.69, 320,041.53 and 129,945.60

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Solution

The fourth proportional to 231,915.69, 320,041.53 and 129,945.60 is: 179,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,915.69 : 320,041.53 = 129,945.60 : x
  2. Step 2: Convert to fraction form
    231,915.69/320,041.53 = 129,945.60/x
  3. Step 3: Cross multiply
    231,915.69x = 320,041.53 × 129,945.60
  4. Step 4: Simplify right side
    231,915.69x = 41,587,988,640.77
  5. Step 5: Solve for x
    x = 41,587,988,640.77/231,915.69
  6. Step 6: Final answer
    x = 179,323.74

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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.