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Finding the Fourth Proportional to 238,075.20, 357,112.80 and 185,524.02

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Solution

The fourth proportional to 238,075.20, 357,112.80 and 185,524.02 is: 278,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,075.20 : 357,112.80 = 185,524.02 : x
  2. Step 2: Convert to fraction form
    238,075.20/357,112.80 = 185,524.02/x
  3. Step 3: Cross multiply
    238,075.20x = 357,112.80 × 185,524.02
  4. Step 4: Simplify right side
    238,075.20x = 66,253,002,249.46
  5. Step 5: Solve for x
    x = 66,253,002,249.46/238,075.20
  6. Step 6: Final answer
    x = 278,286.03

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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.