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Finding the Fourth Proportional to 119,033.42, 164,266.42 and 65,318.88

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Solution

The fourth proportional to 119,033.42, 164,266.42 and 65,318.88 is: 90,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,033.42 : 164,266.42 = 65,318.88 : x
  2. Step 2: Convert to fraction form
    119,033.42/164,266.42 = 65,318.88/x
  3. Step 3: Cross multiply
    119,033.42x = 164,266.42 × 65,318.88
  4. Step 4: Simplify right side
    119,033.42x = 10,729,698,576.01
  5. Step 5: Solve for x
    x = 10,729,698,576.01/119,033.42
  6. Step 6: Final answer
    x = 90,140.22

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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.