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Finding the Fourth Proportional to 150,405.72, 207,548.90 and 82,411.90

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Solution

The fourth proportional to 150,405.72, 207,548.90 and 82,411.90 is: 113,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,405.72 : 207,548.90 = 82,411.90 : x
  2. Step 2: Convert to fraction form
    150,405.72/207,548.90 = 82,411.90/x
  3. Step 3: Cross multiply
    150,405.72x = 207,548.90 × 82,411.90
  4. Step 4: Simplify right side
    150,405.72x = 17,104,499,191.91
  5. Step 5: Solve for x
    x = 17,104,499,191.91/150,405.72
  6. Step 6: Final answer
    x = 113,722.40

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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.