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Finding the Fourth Proportional to 213,051.68, 293,996.77 and 117,559.97

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Solution

The fourth proportional to 213,051.68, 293,996.77 and 117,559.97 is: 162,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051.68 : 293,996.77 = 117,559.97 : x
  2. Step 2: Convert to fraction form
    213,051.68/293,996.77 = 117,559.97/x
  3. Step 3: Cross multiply
    213,051.68x = 293,996.77 × 117,559.97
  4. Step 4: Simplify right side
    213,051.68x = 34,562,250,799.90
  5. Step 5: Solve for x
    x = 34,562,250,799.90/213,051.68
  6. Step 6: Final answer
    x = 162,224.73

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1.5x scale

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.