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Finding the Fourth Proportional to 105,546.70, 157,974.45 and 82,045.90

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Solution

The fourth proportional to 105,546.70, 157,974.45 and 82,045.90 is: 122,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,546.70 : 157,974.45 = 82,045.90 : x
  2. Step 2: Convert to fraction form
    105,546.70/157,974.45 = 82,045.90/x
  3. Step 3: Cross multiply
    105,546.70x = 157,974.45 × 82,045.90
  4. Step 4: Simplify right side
    105,546.70x = 12,961,155,927.26
  5. Step 5: Solve for x
    x = 12,961,155,927.26/105,546.70
  6. Step 6: Final answer
    x = 122,800.20

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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.