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Finding the Fourth Proportional to 252,356.53, 348,272.95 and 144,947.29

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Solution

The fourth proportional to 252,356.53, 348,272.95 and 144,947.29 is: 200,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,356.53 : 348,272.95 = 144,947.29 : x
  2. Step 2: Convert to fraction form
    252,356.53/348,272.95 = 144,947.29/x
  3. Step 3: Cross multiply
    252,356.53x = 348,272.95 × 144,947.29
  4. Step 4: Simplify right side
    252,356.53x = 50,481,220,282.81
  5. Step 5: Solve for x
    x = 50,481,220,282.81/252,356.53
  6. Step 6: Final answer
    x = 200,039.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.