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Finding the Fourth Proportional to 150,030, 207,046.85 and 82,043.01

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Solution

The fourth proportional to 150,030, 207,046.85 and 82,043.01 is: 113,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,030 : 207,046.85 = 82,043.01 : x
  2. Step 2: Convert to fraction form
    150,030/207,046.85 = 82,043.01/x
  3. Step 3: Cross multiply
    150,030x = 207,046.85 × 82,043.01
  4. Step 4: Simplify right side
    150,030x = 16,986,746,374.80
  5. Step 5: Solve for x
    x = 16,986,746,374.80/150,030
  6. Step 6: Final answer
    x = 113,222.33

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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.