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Finding the Fourth Proportional to 202,165.60, 303,248.40 and 192,324.10

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Solution

The fourth proportional to 202,165.60, 303,248.40 and 192,324.10 is: 288,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.60 : 303,248.40 = 192,324.10 : x
  2. Step 2: Convert to fraction form
    202,165.60/303,248.40 = 192,324.10/x
  3. Step 3: Cross multiply
    202,165.60x = 303,248.40 × 192,324.10
  4. Step 4: Simplify right side
    202,165.60x = 58,321,975,606.44
  5. Step 5: Solve for x
    x = 58,321,975,606.44/202,165.60
  6. Step 6: Final answer
    x = 288,486.15

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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.