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Finding the Fourth Proportional to 253,408.94, 349,669.75 and 151,412.84

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Solution

The fourth proportional to 253,408.94, 349,669.75 and 151,412.84 is: 208,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,408.94 : 349,669.75 = 151,412.84 : x
  2. Step 2: Convert to fraction form
    253,408.94/349,669.75 = 151,412.84/x
  3. Step 3: Cross multiply
    253,408.94x = 349,669.75 × 151,412.84
  4. Step 4: Simplify right side
    253,408.94x = 52,944,491,131.84
  5. Step 5: Solve for x
    x = 52,944,491,131.84/253,408.94
  6. Step 6: Final answer
    x = 208,929.06

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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.