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Finding the Fourth Proportional to 109,904.70, 164,857.05 and 82,020.45

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Solution

The fourth proportional to 109,904.70, 164,857.05 and 82,020.45 is: 123,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.70 : 164,857.05 = 82,020.45 : x
  2. Step 2: Convert to fraction form
    109,904.70/164,857.05 = 82,020.45/x
  3. Step 3: Cross multiply
    109,904.70x = 164,857.05 × 82,020.45
  4. Step 4: Simplify right side
    109,904.70x = 13,521,649,426.67
  5. Step 5: Solve for x
    x = 13,521,649,426.67/109,904.70
  6. Step 6: Final answer
    x = 123,030.68

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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.