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Finding the Fourth Proportional to 119,459.22, 164,850.23 and 65,744.21

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Solution

The fourth proportional to 119,459.22, 164,850.23 and 65,744.21 is: 90,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,459.22 : 164,850.23 = 65,744.21 : x
  2. Step 2: Convert to fraction form
    119,459.22/164,850.23 = 65,744.21/x
  3. Step 3: Cross multiply
    119,459.22x = 164,850.23 × 65,744.21
  4. Step 4: Simplify right side
    119,459.22x = 10,837,946,986.70
  5. Step 5: Solve for x
    x = 10,837,946,986.70/119,459.22
  6. Step 6: Final answer
    x = 90,725.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.