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Finding the Fourth Proportional to 266,033.49, 399,419.19 and 166,584.93

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Solution

The fourth proportional to 266,033.49, 399,419.19 and 166,584.93 is: 250,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,033.49 : 399,419.19 = 166,584.93 : x
  2. Step 2: Convert to fraction form
    266,033.49/399,419.19 = 166,584.93/x
  3. Step 3: Cross multiply
    266,033.49x = 399,419.19 × 166,584.93
  4. Step 4: Simplify right side
    266,033.49x = 66,537,217,806.81
  5. Step 5: Solve for x
    x = 66,537,217,806.81/266,033.49
  6. Step 6: Final answer
    x = 250,108.43

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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.