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Finding the Fourth Proportional to 114,299, 157,696.17 and 74,043.62

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Solution

The fourth proportional to 114,299, 157,696.17 and 74,043.62 is: 102,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,299 : 157,696.17 = 74,043.62 : x
  2. Step 2: Convert to fraction form
    114,299/157,696.17 = 74,043.62/x
  3. Step 3: Cross multiply
    114,299x = 157,696.17 × 74,043.62
  4. Step 4: Simplify right side
    114,299x = 11,676,395,286.94
  5. Step 5: Solve for x
    x = 11,676,395,286.94/114,299
  6. Step 6: Final answer
    x = 102,156.58

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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.