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Finding the Fourth Proportional to 83,982.70, 117,731.30 and 83,982.70

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Solution

The fourth proportional to 83,982.70, 117,731.30 and 83,982.70 is: 117,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982.70 : 117,731.30 = 83,982.70 : x
  2. Step 2: Convert to fraction form
    83,982.70/117,731.30 = 83,982.70/x
  3. Step 3: Cross multiply
    83,982.70x = 117,731.30 × 83,982.70
  4. Step 4: Simplify right side
    83,982.70x = 9,887,392,448.51
  5. Step 5: Solve for x
    x = 9,887,392,448.51/83,982.70
  6. Step 6: Final answer
    x = 117,731.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.