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Finding the Fourth Proportional to 106,540.70, 159,830.52 and 82,707.26

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Solution

The fourth proportional to 106,540.70, 159,830.52 and 82,707.26 is: 124,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.70 : 159,830.52 = 82,707.26 : x
  2. Step 2: Convert to fraction form
    106,540.70/159,830.52 = 82,707.26/x
  3. Step 3: Cross multiply
    106,540.70x = 159,830.52 × 82,707.26
  4. Step 4: Simplify right side
    106,540.70x = 13,219,144,373.58
  5. Step 5: Solve for x
    x = 13,219,144,373.58/106,540.70
  6. Step 6: Final answer
    x = 124,076.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.