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Finding the Fourth Proportional to 202,124.91, 303,217.64 and 65,302.29

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Solution

The fourth proportional to 202,124.91, 303,217.64 and 65,302.29 is: 97,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,124.91 : 303,217.64 = 65,302.29 : x
  2. Step 2: Convert to fraction form
    202,124.91/303,217.64 = 65,302.29/x
  3. Step 3: Cross multiply
    202,124.91x = 303,217.64 × 65,302.29
  4. Step 4: Simplify right side
    202,124.91x = 19,800,805,933.88
  5. Step 5: Solve for x
    x = 19,800,805,933.88/202,124.91
  6. Step 6: Final answer
    x = 97,963.21

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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.