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Finding the Fourth Proportional to 150,384.96, 207,531.14 and 82,406.16

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Solution

The fourth proportional to 150,384.96, 207,531.14 and 82,406.16 is: 113,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,384.96 : 207,531.14 = 82,406.16 : x
  2. Step 2: Convert to fraction form
    150,384.96/207,531.14 = 82,406.16/x
  3. Step 3: Cross multiply
    150,384.96x = 207,531.14 × 82,406.16
  4. Step 4: Simplify right side
    150,384.96x = 17,101,844,327.82
  5. Step 5: Solve for x
    x = 17,101,844,327.82/150,384.96
  6. Step 6: Final answer
    x = 113,720.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.