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Finding the Fourth Proportional to 147,455.31, 203,485.87 and 82,041.62

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Solution

The fourth proportional to 147,455.31, 203,485.87 and 82,041.62 is: 113,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,455.31 : 203,485.87 = 82,041.62 : x
  2. Step 2: Convert to fraction form
    147,455.31/203,485.87 = 82,041.62/x
  3. Step 3: Cross multiply
    147,455.31x = 203,485.87 × 82,041.62
  4. Step 4: Simplify right side
    147,455.31x = 16,694,309,199.38
  5. Step 5: Solve for x
    x = 16,694,309,199.38/147,455.31
  6. Step 6: Final answer
    x = 113,216.06

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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.