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Finding the Fourth Proportional to 202,955.68, 304,451.40 and 53,195.38

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Solution

The fourth proportional to 202,955.68, 304,451.40 and 53,195.38 is: 79,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.68 : 304,451.40 = 53,195.38 : x
  2. Step 2: Convert to fraction form
    202,955.68/304,451.40 = 53,195.38/x
  3. Step 3: Cross multiply
    202,955.68x = 304,451.40 × 53,195.38
  4. Step 4: Simplify right side
    202,955.68x = 16,195,407,914.53
  5. Step 5: Solve for x
    x = 16,195,407,914.53/202,955.68
  6. Step 6: Final answer
    x = 79,797.76

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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.