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Finding the Fourth Proportional to 177,757.22, 266,609.61 and 65,411.34

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Solution

The fourth proportional to 177,757.22, 266,609.61 and 65,411.34 is: 98,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,757.22 : 266,609.61 = 65,411.34 : x
  2. Step 2: Convert to fraction form
    177,757.22/266,609.61 = 65,411.34/x
  3. Step 3: Cross multiply
    177,757.22x = 266,609.61 × 65,411.34
  4. Step 4: Simplify right side
    177,757.22x = 17,439,291,846.98
  5. Step 5: Solve for x
    x = 17,439,291,846.98/177,757.22
  6. Step 6: Final answer
    x = 98,107.36

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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.