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Finding the Fourth Proportional to 117,222, 175,862.16 and 34,116

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Solution

The fourth proportional to 117,222, 175,862.16 and 34,116 is: 51,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,222 : 175,862.16 = 34,116 : x
  2. Step 2: Convert to fraction form
    117,222/175,862.16 = 34,116/x
  3. Step 3: Cross multiply
    117,222x = 175,862.16 × 34,116
  4. Step 4: Simplify right side
    117,222x = 5,999,713,450.56
  5. Step 5: Solve for x
    x = 5,999,713,450.56/117,222
  6. Step 6: Final answer
    x = 51,182.49

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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.