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Finding the Fourth Proportional to 114,150.83, 171,266.84 and 50,965.25

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Solution

The fourth proportional to 114,150.83, 171,266.84 and 50,965.25 is: 76,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,150.83 : 171,266.84 = 50,965.25 : x
  2. Step 2: Convert to fraction form
    114,150.83/171,266.84 = 50,965.25/x
  3. Step 3: Cross multiply
    114,150.83x = 171,266.84 × 50,965.25
  4. Step 4: Simplify right side
    114,150.83x = 8,728,657,062.48
  5. Step 5: Solve for x
    x = 8,728,657,062.48/114,150.83
  6. Step 6: Final answer
    x = 76,466.00

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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.