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Finding the Fourth Proportional to 83,044.10, 115,999.30 and 83,044.10

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Solution

The fourth proportional to 83,044.10, 115,999.30 and 83,044.10 is: 115,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.10 : 115,999.30 = 83,044.10 : x
  2. Step 2: Convert to fraction form
    83,044.10/115,999.30 = 83,044.10/x
  3. Step 3: Cross multiply
    83,044.10x = 115,999.30 × 83,044.10
  4. Step 4: Simplify right side
    83,044.10x = 9,633,057,469.13
  5. Step 5: Solve for x
    x = 9,633,057,469.13/83,044.10
  6. Step 6: Final answer
    x = 115,999.30

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1.5x scale

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.