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Finding the Fourth Proportional to 118,964.30, 164,175.32 and 65,251.58

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Solution

The fourth proportional to 118,964.30, 164,175.32 and 65,251.58 is: 90,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.30 : 164,175.32 = 65,251.58 : x
  2. Step 2: Convert to fraction form
    118,964.30/164,175.32 = 65,251.58/x
  3. Step 3: Cross multiply
    118,964.30x = 164,175.32 × 65,251.58
  4. Step 4: Simplify right side
    118,964.30x = 10,712,698,369.26
  5. Step 5: Solve for x
    x = 10,712,698,369.26/118,964.30
  6. Step 6: Final answer
    x = 90,049.69

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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.