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Finding the Fourth Proportional to 185,075, 255,404.33 and 100,192.06

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Solution

The fourth proportional to 185,075, 255,404.33 and 100,192.06 is: 138,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075 : 255,404.33 = 100,192.06 : x
  2. Step 2: Convert to fraction form
    185,075/255,404.33 = 100,192.06/x
  3. Step 3: Cross multiply
    185,075x = 255,404.33 × 100,192.06
  4. Step 4: Simplify right side
    185,075x = 25,589,485,955.62
  5. Step 5: Solve for x
    x = 25,589,485,955.62/185,075
  6. Step 6: Final answer
    x = 138,265.49

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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.