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Finding the Fourth Proportional to 243,965.80, 365,430.30 and 202,493.80

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Solution

The fourth proportional to 243,965.80, 365,430.30 and 202,493.80 is: 303,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,965.80 : 365,430.30 = 202,493.80 : x
  2. Step 2: Convert to fraction form
    243,965.80/365,430.30 = 202,493.80/x
  3. Step 3: Cross multiply
    243,965.80x = 365,430.30 × 202,493.80
  4. Step 4: Simplify right side
    243,965.80x = 73,997,370,082.14
  5. Step 5: Solve for x
    x = 73,997,370,082.14/243,965.80
  6. Step 6: Final answer
    x = 303,310.42

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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.