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Finding the Fourth Proportional to 114,649.77, 171,972.99 and 80,775.78

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Solution

The fourth proportional to 114,649.77, 171,972.99 and 80,775.78 is: 121,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,649.77 : 171,972.99 = 80,775.78 : x
  2. Step 2: Convert to fraction form
    114,649.77/171,972.99 = 80,775.78/x
  3. Step 3: Cross multiply
    114,649.77x = 171,972.99 × 80,775.78
  4. Step 4: Simplify right side
    114,649.77x = 13,891,252,406.18
  5. Step 5: Solve for x
    x = 13,891,252,406.18/114,649.77
  6. Step 6: Final answer
    x = 121,162.50

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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.