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Finding the Fourth Proportional to 177,563.26, 266,342.19 and 52,904.26

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Solution

The fourth proportional to 177,563.26, 266,342.19 and 52,904.26 is: 79,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,563.26 : 266,342.19 = 52,904.26 : x
  2. Step 2: Convert to fraction form
    177,563.26/266,342.19 = 52,904.26/x
  3. Step 3: Cross multiply
    177,563.26x = 266,342.19 × 52,904.26
  4. Step 4: Simplify right side
    177,563.26x = 14,090,636,468.73
  5. Step 5: Solve for x
    x = 14,090,636,468.73/177,563.26
  6. Step 6: Final answer
    x = 79,355.59

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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.