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Finding the Fourth Proportional to 109,910.70, 164,866.05 and 65,623.95

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Solution

The fourth proportional to 109,910.70, 164,866.05 and 65,623.95 is: 98,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910.70 : 164,866.05 = 65,623.95 : x
  2. Step 2: Convert to fraction form
    109,910.70/164,866.05 = 65,623.95/x
  3. Step 3: Cross multiply
    109,910.70x = 164,866.05 × 65,623.95
  4. Step 4: Simplify right side
    109,910.70x = 10,819,161,421.90
  5. Step 5: Solve for x
    x = 10,819,161,421.90/109,910.70
  6. Step 6: Final answer
    x = 98,435.93

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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.