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Finding the Fourth Proportional to 117,165.49, 175,629.89 and 46,137.97

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Solution

The fourth proportional to 117,165.49, 175,629.89 and 46,137.97 is: 69,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,165.49 : 175,629.89 = 46,137.97 : x
  2. Step 2: Convert to fraction form
    117,165.49/175,629.89 = 46,137.97/x
  3. Step 3: Cross multiply
    117,165.49x = 175,629.89 × 46,137.97
  4. Step 4: Simplify right side
    117,165.49x = 8,103,206,804.31
  5. Step 5: Solve for x
    x = 8,103,206,804.31/117,165.49
  6. Step 6: Final answer
    x = 69,160.35

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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.