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Finding the Fourth Proportional to 141,209.80, 211,814.70 and 47,714.20

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Solution

The fourth proportional to 141,209.80, 211,814.70 and 47,714.20 is: 71,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,209.80 : 211,814.70 = 47,714.20 : x
  2. Step 2: Convert to fraction form
    141,209.80/211,814.70 = 47,714.20/x
  3. Step 3: Cross multiply
    141,209.80x = 211,814.70 × 47,714.20
  4. Step 4: Simplify right side
    141,209.80x = 10,106,568,958.74
  5. Step 5: Solve for x
    x = 10,106,568,958.74/141,209.80
  6. Step 6: Final answer
    x = 71,571.30

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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.