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Finding the Fourth Proportional to 253,153.75, 349,224.80 and 167,021.95

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Solution

The fourth proportional to 253,153.75, 349,224.80 and 167,021.95 is: 230,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,153.75 : 349,224.80 = 167,021.95 : x
  2. Step 2: Convert to fraction form
    253,153.75/349,224.80 = 167,021.95/x
  3. Step 3: Cross multiply
    253,153.75x = 349,224.80 × 167,021.95
  4. Step 4: Simplify right side
    253,153.75x = 58,328,205,338.24
  5. Step 5: Solve for x
    x = 58,328,205,338.24/253,153.75
  6. Step 6: Final answer
    x = 230,406.25

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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.