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Finding the Fourth Proportional to 109,900.30, 164,893.65 and 43,329.10

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Solution

The fourth proportional to 109,900.30, 164,893.65 and 43,329.10 is: 65,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,900.30 : 164,893.65 = 43,329.10 : x
  2. Step 2: Convert to fraction form
    109,900.30/164,893.65 = 43,329.10/x
  3. Step 3: Cross multiply
    109,900.30x = 164,893.65 × 43,329.10
  4. Step 4: Simplify right side
    109,900.30x = 7,144,693,450.22
  5. Step 5: Solve for x
    x = 7,144,693,450.22/109,900.30
  6. Step 6: Final answer
    x = 65,010.68

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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.