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Finding the Fourth Proportional to 303,972.75, 455,959.14 and 82,356.75

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Solution

The fourth proportional to 303,972.75, 455,959.14 and 82,356.75 is: 123,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,972.75 : 455,959.14 = 82,356.75 : x
  2. Step 2: Convert to fraction form
    303,972.75/455,959.14 = 82,356.75/x
  3. Step 3: Cross multiply
    303,972.75x = 455,959.14 × 82,356.75
  4. Step 4: Simplify right side
    303,972.75x = 37,551,312,903.20
  5. Step 5: Solve for x
    x = 37,551,312,903.20/303,972.75
  6. Step 6: Final answer
    x = 123,535.13

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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.