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Finding the Fourth Proportional to 233,153.80, 349,212.30 and 202,049.80

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Solution

The fourth proportional to 233,153.80, 349,212.30 and 202,049.80 is: 302,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,153.80 : 349,212.30 = 202,049.80 : x
  2. Step 2: Convert to fraction form
    233,153.80/349,212.30 = 202,049.80/x
  3. Step 3: Cross multiply
    233,153.80x = 349,212.30 × 202,049.80
  4. Step 4: Simplify right side
    233,153.80x = 70,558,275,372.54
  5. Step 5: Solve for x
    x = 70,558,275,372.54/233,153.80
  6. Step 6: Final answer
    x = 302,625.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.