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Finding the Fourth Proportional to 136,395.04, 204,469.44 and 57,514

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Solution

The fourth proportional to 136,395.04, 204,469.44 and 57,514 is: 86,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,395.04 : 204,469.44 = 57,514 : x
  2. Step 2: Convert to fraction form
    136,395.04/204,469.44 = 57,514/x
  3. Step 3: Cross multiply
    136,395.04x = 204,469.44 × 57,514
  4. Step 4: Simplify right side
    136,395.04x = 11,759,855,372.16
  5. Step 5: Solve for x
    x = 11,759,855,372.16/136,395.04
  6. Step 6: Final answer
    x = 86,219.08

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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.