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Finding the Fourth Proportional to 202,658.82, 303,988.32 and 52,898.70

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Solution

The fourth proportional to 202,658.82, 303,988.32 and 52,898.70 is: 79,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,658.82 : 303,988.32 = 52,898.70 : x
  2. Step 2: Convert to fraction form
    202,658.82/303,988.32 = 52,898.70/x
  3. Step 3: Cross multiply
    202,658.82x = 303,988.32 × 52,898.70
  4. Step 4: Simplify right side
    202,658.82x = 16,080,586,943.18
  5. Step 5: Solve for x
    x = 16,080,586,943.18/202,658.82
  6. Step 6: Final answer
    x = 79,348.07

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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.