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Finding the Fourth Proportional to 118,929.46, 164,122.56 and 65,215.38

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Solution

The fourth proportional to 118,929.46, 164,122.56 and 65,215.38 is: 89,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,929.46 : 164,122.56 = 65,215.38 : x
  2. Step 2: Convert to fraction form
    118,929.46/164,122.56 = 65,215.38/x
  3. Step 3: Cross multiply
    118,929.46x = 164,122.56 × 65,215.38
  4. Step 4: Simplify right side
    118,929.46x = 10,703,315,116.97
  5. Step 5: Solve for x
    x = 10,703,315,116.97/118,929.46
  6. Step 6: Final answer
    x = 89,997.17

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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.