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Finding the Fourth Proportional to 141,496.34, 211,977.08 and 83,620.90

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Solution

The fourth proportional to 141,496.34, 211,977.08 and 83,620.90 is: 125,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,496.34 : 211,977.08 = 83,620.90 : x
  2. Step 2: Convert to fraction form
    141,496.34/211,977.08 = 83,620.90/x
  3. Step 3: Cross multiply
    141,496.34x = 211,977.08 × 83,620.90
  4. Step 4: Simplify right side
    141,496.34x = 17,725,714,208.97
  5. Step 5: Solve for x
    x = 17,725,714,208.97/141,496.34
  6. Step 6: Final answer
    x = 125,273.31

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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.