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Finding the Fourth Proportional to 202,294.48, 303,195.40 and 143,147.28

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Solution

The fourth proportional to 202,294.48, 303,195.40 and 143,147.28 is: 214,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.48 : 303,195.40 = 143,147.28 : x
  2. Step 2: Convert to fraction form
    202,294.48/303,195.40 = 143,147.28/x
  3. Step 3: Cross multiply
    202,294.48x = 303,195.40 × 143,147.28
  4. Step 4: Simplify right side
    202,294.48x = 43,401,596,818.51
  5. Step 5: Solve for x
    x = 43,401,596,818.51/202,294.48
  6. Step 6: Final answer
    x = 214,546.62

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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.