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Finding the Fourth Proportional to 202,598.42, 303,897.76 and 52,838.53

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Solution

The fourth proportional to 202,598.42, 303,897.76 and 52,838.53 is: 79,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598.42 : 303,897.76 = 52,838.53 : x
  2. Step 2: Convert to fraction form
    202,598.42/303,897.76 = 52,838.53/x
  3. Step 3: Cross multiply
    202,598.42x = 303,897.76 × 52,838.53
  4. Step 4: Simplify right side
    202,598.42x = 16,057,510,016.85
  5. Step 5: Solve for x
    x = 16,057,510,016.85/202,598.42
  6. Step 6: Final answer
    x = 79,257.83

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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.