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Finding the Fourth Proportional to 202,800, 304,200 and 55,056

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Solution

The fourth proportional to 202,800, 304,200 and 55,056 is: 82,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,800 : 304,200 = 55,056 : x
  2. Step 2: Convert to fraction form
    202,800/304,200 = 55,056/x
  3. Step 3: Cross multiply
    202,800x = 304,200 × 55,056
  4. Step 4: Simplify right side
    202,800x = 16,748,035,200
  5. Step 5: Solve for x
    x = 16,748,035,200/202,800
  6. Step 6: Final answer
    x = 82,584

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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.