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Finding the Fourth Proportional to 119,548.96, 164,975.12 and 65,834.96

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Solution

The fourth proportional to 119,548.96, 164,975.12 and 65,834.96 is: 90,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548.96 : 164,975.12 = 65,834.96 : x
  2. Step 2: Convert to fraction form
    119,548.96/164,975.12 = 65,834.96/x
  3. Step 3: Cross multiply
    119,548.96x = 164,975.12 × 65,834.96
  4. Step 4: Simplify right side
    119,548.96x = 10,861,130,426.20
  5. Step 5: Solve for x
    x = 10,861,130,426.20/119,548.96
  6. Step 6: Final answer
    x = 90,850.90

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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.