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Finding the Fourth Proportional to 202,933.80, 304,400.70 and 187,727.40

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Solution

The fourth proportional to 202,933.80, 304,400.70 and 187,727.40 is: 281,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,933.80 : 304,400.70 = 187,727.40 : x
  2. Step 2: Convert to fraction form
    202,933.80/304,400.70 = 187,727.40/x
  3. Step 3: Cross multiply
    202,933.80x = 304,400.70 × 187,727.40
  4. Step 4: Simplify right side
    202,933.80x = 57,144,351,969.18
  5. Step 5: Solve for x
    x = 57,144,351,969.18/202,933.80
  6. Step 6: Final answer
    x = 281,591.10

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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.