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Finding the Fourth Proportional to 233,611, 322,383.22 and 127,627

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Solution

The fourth proportional to 233,611, 322,383.22 and 127,627 is: 176,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,611 : 322,383.22 = 127,627 : x
  2. Step 2: Convert to fraction form
    233,611/322,383.22 = 127,627/x
  3. Step 3: Cross multiply
    233,611x = 322,383.22 × 127,627
  4. Step 4: Simplify right side
    233,611x = 41,144,803,218.94
  5. Step 5: Solve for x
    x = 41,144,803,218.94/233,611
  6. Step 6: Final answer
    x = 176,125.28

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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.