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Finding the Fourth Proportional to 117,113.25, 175,674.75 and 34,007.25

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Solution

The fourth proportional to 117,113.25, 175,674.75 and 34,007.25 is: 51,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,113.25 : 175,674.75 = 34,007.25 : x
  2. Step 2: Convert to fraction form
    117,113.25/175,674.75 = 34,007.25/x
  3. Step 3: Cross multiply
    117,113.25x = 175,674.75 × 34,007.25
  4. Step 4: Simplify right side
    117,113.25x = 5,974,215,141.94
  5. Step 5: Solve for x
    x = 5,974,215,141.94/117,113.25
  6. Step 6: Final answer
    x = 51,012.29

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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.