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Finding the Fourth Proportional to 202,752.81, 304,060 and 82,791.07

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Solution

The fourth proportional to 202,752.81, 304,060 and 82,791.07 is: 124,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,752.81 : 304,060 = 82,791.07 : x
  2. Step 2: Convert to fraction form
    202,752.81/304,060 = 82,791.07/x
  3. Step 3: Cross multiply
    202,752.81x = 304,060 × 82,791.07
  4. Step 4: Simplify right side
    202,752.81x = 25,173,452,744.20
  5. Step 5: Solve for x
    x = 25,173,452,744.20/202,752.81
  6. Step 6: Final answer
    x = 124,158.34

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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.