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Finding the Fourth Proportional to 253,156.62, 349,356.23 and 144,257.84

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Solution

The fourth proportional to 253,156.62, 349,356.23 and 144,257.84 is: 199,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,156.62 : 349,356.23 = 144,257.84 : x
  2. Step 2: Convert to fraction form
    253,156.62/349,356.23 = 144,257.84/x
  3. Step 3: Cross multiply
    253,156.62x = 349,356.23 × 144,257.84
  4. Step 4: Simplify right side
    253,156.62x = 50,397,374,409.05
  5. Step 5: Solve for x
    x = 50,397,374,409.05/253,156.62
  6. Step 6: Final answer
    x = 199,075.87

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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.