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Finding the Fourth Proportional to 169,506.25, 254,252.09 and 51,174.07

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Solution

The fourth proportional to 169,506.25, 254,252.09 and 51,174.07 is: 76,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,506.25 : 254,252.09 = 51,174.07 : x
  2. Step 2: Convert to fraction form
    169,506.25/254,252.09 = 51,174.07/x
  3. Step 3: Cross multiply
    169,506.25x = 254,252.09 × 51,174.07
  4. Step 4: Simplify right side
    169,506.25x = 13,011,113,995.44
  5. Step 5: Solve for x
    x = 13,011,113,995.44/169,506.25
  6. Step 6: Final answer
    x = 76,758.90

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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.