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Finding the Fourth Proportional to 202,964.90, 303,864.15 and 181,969.70

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Solution

The fourth proportional to 202,964.90, 303,864.15 and 181,969.70 is: 272,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.90 : 303,864.15 = 181,969.70 : x
  2. Step 2: Convert to fraction form
    202,964.90/303,864.15 = 181,969.70/x
  3. Step 3: Cross multiply
    202,964.90x = 303,864.15 × 181,969.70
  4. Step 4: Simplify right side
    202,964.90x = 55,294,068,216.26
  5. Step 5: Solve for x
    x = 55,294,068,216.26/202,964.90
  6. Step 6: Final answer
    x = 272,431.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.