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Finding the Fourth Proportional to 341,076.20, 511,322.58 and 130,865

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Solution

The fourth proportional to 341,076.20, 511,322.58 and 130,865 is: 196,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,076.20 : 511,322.58 = 130,865 : x
  2. Step 2: Convert to fraction form
    341,076.20/511,322.58 = 130,865/x
  3. Step 3: Cross multiply
    341,076.20x = 511,322.58 × 130,865
  4. Step 4: Simplify right side
    341,076.20x = 66,914,229,431.70
  5. Step 5: Solve for x
    x = 66,914,229,431.70/341,076.20
  6. Step 6: Final answer
    x = 196,185.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.