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Finding the Fourth Proportional to 150,515.84, 207,714.19 and 82,539.02

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Solution

The fourth proportional to 150,515.84, 207,714.19 and 82,539.02 is: 113,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,515.84 : 207,714.19 = 82,539.02 : x
  2. Step 2: Convert to fraction form
    150,515.84/207,714.19 = 82,539.02/x
  3. Step 3: Cross multiply
    150,515.84x = 207,714.19 × 82,539.02
  4. Step 4: Simplify right side
    150,515.84x = 17,144,524,437.78
  5. Step 5: Solve for x
    x = 17,144,524,437.78/150,515.84
  6. Step 6: Final answer
    x = 113,905.12

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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.