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Finding the Fourth Proportional to 185,075.96, 255,404.90 and 100,193.02

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Solution

The fourth proportional to 185,075.96, 255,404.90 and 100,193.02 is: 138,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075.96 : 255,404.90 = 100,193.02 : x
  2. Step 2: Convert to fraction form
    185,075.96/255,404.90 = 100,193.02/x
  3. Step 3: Cross multiply
    185,075.96x = 255,404.90 × 100,193.02
  4. Step 4: Simplify right side
    185,075.96x = 25,589,787,865.77
  5. Step 5: Solve for x
    x = 25,589,787,865.77/185,075.96
  6. Step 6: Final answer
    x = 138,266.41

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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.