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Finding the Fourth Proportional to 253,274.56, 349,537.87 and 144,381.49

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Solution

The fourth proportional to 253,274.56, 349,537.87 and 144,381.49 is: 199,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,274.56 : 349,537.87 = 144,381.49 : x
  2. Step 2: Convert to fraction form
    253,274.56/349,537.87 = 144,381.49/x
  3. Step 3: Cross multiply
    253,274.56x = 349,537.87 × 144,381.49
  4. Step 4: Simplify right side
    253,274.56x = 50,466,798,482.03
  5. Step 5: Solve for x
    x = 50,466,798,482.03/253,274.56
  6. Step 6: Final answer
    x = 199,257.27

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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.