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Finding the Fourth Proportional to 202,685.88, 304,035 and 69,564.24

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Solution

The fourth proportional to 202,685.88, 304,035 and 69,564.24 is: 104,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,685.88 : 304,035 = 69,564.24 : x
  2. Step 2: Convert to fraction form
    202,685.88/304,035 = 69,564.24/x
  3. Step 3: Cross multiply
    202,685.88x = 304,035 × 69,564.24
  4. Step 4: Simplify right side
    202,685.88x = 21,149,963,708.40
  5. Step 5: Solve for x
    x = 21,149,963,708.40/202,685.88
  6. Step 6: Final answer
    x = 104,348.48

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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.