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Finding the Fourth Proportional to 202,022.87, 303,032.30 and 77,363.87

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Solution

The fourth proportional to 202,022.87, 303,032.30 and 77,363.87 is: 116,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.87 : 303,032.30 = 77,363.87 : x
  2. Step 2: Convert to fraction form
    202,022.87/303,032.30 = 77,363.87/x
  3. Step 3: Cross multiply
    202,022.87x = 303,032.30 × 77,363.87
  4. Step 4: Simplify right side
    202,022.87x = 23,443,749,561.02
  5. Step 5: Solve for x
    x = 23,443,749,561.02/202,022.87
  6. Step 6: Final answer
    x = 116,045.03

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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.