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Finding the Fourth Proportional to 134,525.26, 185,644.85 and 77,969.44

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Solution

The fourth proportional to 134,525.26, 185,644.85 and 77,969.44 is: 107,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,525.26 : 185,644.85 = 77,969.44 : x
  2. Step 2: Convert to fraction form
    134,525.26/185,644.85 = 77,969.44/x
  3. Step 3: Cross multiply
    134,525.26x = 185,644.85 × 77,969.44
  4. Step 4: Simplify right side
    134,525.26x = 14,474,624,993.38
  5. Step 5: Solve for x
    x = 14,474,624,993.38/134,525.26
  6. Step 6: Final answer
    x = 107,597.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.