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Finding the Fourth Proportional to 201,279.45, 301,802.52 and 82,816.95

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Solution

The fourth proportional to 201,279.45, 301,802.52 and 82,816.95 is: 124,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,279.45 : 301,802.52 = 82,816.95 : x
  2. Step 2: Convert to fraction form
    201,279.45/301,802.52 = 82,816.95/x
  3. Step 3: Cross multiply
    201,279.45x = 301,802.52 × 82,816.95
  4. Step 4: Simplify right side
    201,279.45x = 24,994,364,208.71
  5. Step 5: Solve for x
    x = 24,994,364,208.71/201,279.45
  6. Step 6: Final answer
    x = 124,177.43

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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.