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Finding the Fourth Proportional to 150,589.47, 207,815.40 and 82,602

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Solution

The fourth proportional to 150,589.47, 207,815.40 and 82,602 is: 113,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,589.47 : 207,815.40 = 82,602 : x
  2. Step 2: Convert to fraction form
    150,589.47/207,815.40 = 82,602/x
  3. Step 3: Cross multiply
    150,589.47x = 207,815.40 × 82,602
  4. Step 4: Simplify right side
    150,589.47x = 17,165,967,670.80
  5. Step 5: Solve for x
    x = 17,165,967,670.80/150,589.47
  6. Step 6: Final answer
    x = 113,991.82

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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.