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Finding the Fourth Proportional to 231,889.84, 320,033.78 and 129,931.90

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Solution

The fourth proportional to 231,889.84, 320,033.78 and 129,931.90 is: 179,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,889.84 : 320,033.78 = 129,931.90 : x
  2. Step 2: Convert to fraction form
    231,889.84/320,033.78 = 129,931.90/x
  3. Step 3: Cross multiply
    231,889.84x = 320,033.78 × 129,931.90
  4. Step 4: Simplify right side
    231,889.84x = 41,582,597,099.58
  5. Step 5: Solve for x
    x = 41,582,597,099.58/231,889.84
  6. Step 6: Final answer
    x = 179,320.48

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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.