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Finding the Fourth Proportional to 202,801.74, 304,179.37 and 53,056.48

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Solution

The fourth proportional to 202,801.74, 304,179.37 and 53,056.48 is: 79,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.74 : 304,179.37 = 53,056.48 : x
  2. Step 2: Convert to fraction form
    202,801.74/304,179.37 = 53,056.48/x
  3. Step 3: Cross multiply
    202,801.74x = 304,179.37 × 53,056.48
  4. Step 4: Simplify right side
    202,801.74x = 16,138,686,660.82
  5. Step 5: Solve for x
    x = 16,138,686,660.82/202,801.74
  6. Step 6: Final answer
    x = 79,578.64

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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.