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Finding the Fourth Proportional to 164,971.82, 247,107.51 and 111,696.50

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Solution

The fourth proportional to 164,971.82, 247,107.51 and 111,696.50 is: 167,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,971.82 : 247,107.51 = 111,696.50 : x
  2. Step 2: Convert to fraction form
    164,971.82/247,107.51 = 111,696.50/x
  3. Step 3: Cross multiply
    164,971.82x = 247,107.51 × 111,696.50
  4. Step 4: Simplify right side
    164,971.82x = 27,601,043,990.72
  5. Step 5: Solve for x
    x = 27,601,043,990.72/164,971.82
  6. Step 6: Final answer
    x = 167,307.63

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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.