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Finding the Fourth Proportional to 177,614, 266,552.50 and 84,120.02

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Solution

The fourth proportional to 177,614, 266,552.50 and 84,120.02 is: 126,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,614 : 266,552.50 = 84,120.02 : x
  2. Step 2: Convert to fraction form
    177,614/266,552.50 = 84,120.02/x
  3. Step 3: Cross multiply
    177,614x = 266,552.50 × 84,120.02
  4. Step 4: Simplify right side
    177,614x = 22,422,401,631.05
  5. Step 5: Solve for x
    x = 22,422,401,631.05/177,614
  6. Step 6: Final answer
    x = 126,242.31

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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.