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Finding the Fourth Proportional to 164,121.90, 246,182.81 and 51,880.91

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Solution

The fourth proportional to 164,121.90, 246,182.81 and 51,880.91 is: 77,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,121.90 : 246,182.81 = 51,880.91 : x
  2. Step 2: Convert to fraction form
    164,121.90/246,182.81 = 51,880.91/x
  3. Step 3: Cross multiply
    164,121.90x = 246,182.81 × 51,880.91
  4. Step 4: Simplify right side
    164,121.90x = 12,772,187,107.95
  5. Step 5: Solve for x
    x = 12,772,187,107.95/164,121.90
  6. Step 6: Final answer
    x = 77,821.35

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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.