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Finding the Fourth Proportional to 138,987.83, 208,482.05 and 50,241.20

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Solution

The fourth proportional to 138,987.83, 208,482.05 and 50,241.20 is: 75,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,987.83 : 208,482.05 = 50,241.20 : x
  2. Step 2: Convert to fraction form
    138,987.83/208,482.05 = 50,241.20/x
  3. Step 3: Cross multiply
    138,987.83x = 208,482.05 × 50,241.20
  4. Step 4: Simplify right side
    138,987.83x = 10,474,387,453.65
  5. Step 5: Solve for x
    x = 10,474,387,453.65/138,987.83
  6. Step 6: Final answer
    x = 75,361.90

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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.