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Finding the Fourth Proportional to 119,665.44, 165,136.14 and 65,218.08

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Solution

The fourth proportional to 119,665.44, 165,136.14 and 65,218.08 is: 89,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,665.44 : 165,136.14 = 65,218.08 : x
  2. Step 2: Convert to fraction form
    119,665.44/165,136.14 = 65,218.08/x
  3. Step 3: Cross multiply
    119,665.44x = 165,136.14 × 65,218.08
  4. Step 4: Simplify right side
    119,665.44x = 10,769,861,989.41
  5. Step 5: Solve for x
    x = 10,769,861,989.41/119,665.44
  6. Step 6: Final answer
    x = 89,999.77

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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.