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Finding the Fourth Proportional to 270,772.84, 406,623.90 and 166,205.80

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Solution

The fourth proportional to 270,772.84, 406,623.90 and 166,205.80 is: 249,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772.84 : 406,623.90 = 166,205.80 : x
  2. Step 2: Convert to fraction form
    270,772.84/406,623.90 = 166,205.80/x
  3. Step 3: Cross multiply
    270,772.84x = 406,623.90 × 166,205.80
  4. Step 4: Simplify right side
    270,772.84x = 67,583,250,598.62
  5. Step 5: Solve for x
    x = 67,583,250,598.62/270,772.84
  6. Step 6: Final answer
    x = 249,593.91

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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.