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Finding the Fourth Proportional to 117,477, 162,044.50 and 69,696.52

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Solution

The fourth proportional to 117,477, 162,044.50 and 69,696.52 is: 96,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477 : 162,044.50 = 69,696.52 : x
  2. Step 2: Convert to fraction form
    117,477/162,044.50 = 69,696.52/x
  3. Step 3: Cross multiply
    117,477x = 162,044.50 × 69,696.52
  4. Step 4: Simplify right side
    117,477x = 11,293,937,735.14
  5. Step 5: Solve for x
    x = 11,293,937,735.14/117,477
  6. Step 6: Final answer
    x = 96,137.44

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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.