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Finding the Fourth Proportional to 253,648.26, 349,947.72 and 144,674.28

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Solution

The fourth proportional to 253,648.26, 349,947.72 and 144,674.28 is: 199,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,648.26 : 349,947.72 = 144,674.28 : x
  2. Step 2: Convert to fraction form
    253,648.26/349,947.72 = 144,674.28/x
  3. Step 3: Cross multiply
    253,648.26x = 349,947.72 × 144,674.28
  4. Step 4: Simplify right side
    253,648.26x = 50,628,434,277.79
  5. Step 5: Solve for x
    x = 50,628,434,277.79/253,648.26
  6. Step 6: Final answer
    x = 199,600.95

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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.