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Finding the Fourth Proportional to 202,727.25, 303,795.62 and 97,423.20

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Solution

The fourth proportional to 202,727.25, 303,795.62 and 97,423.20 is: 145,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,727.25 : 303,795.62 = 97,423.20 : x
  2. Step 2: Convert to fraction form
    202,727.25/303,795.62 = 97,423.20/x
  3. Step 3: Cross multiply
    202,727.25x = 303,795.62 × 97,423.20
  4. Step 4: Simplify right side
    202,727.25x = 29,596,741,689.94
  5. Step 5: Solve for x
    x = 29,596,741,689.94/202,727.25
  6. Step 6: Final answer
    x = 145,992.91

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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.