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Finding the Fourth Proportional to 210,133.80, 289,625.22 and 164,514.60

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Solution

The fourth proportional to 210,133.80, 289,625.22 and 164,514.60 is: 226,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.80 : 289,625.22 = 164,514.60 : x
  2. Step 2: Convert to fraction form
    210,133.80/289,625.22 = 164,514.60/x
  3. Step 3: Cross multiply
    210,133.80x = 289,625.22 × 164,514.60
  4. Step 4: Simplify right side
    210,133.80x = 47,647,577,218.21
  5. Step 5: Solve for x
    x = 47,647,577,218.21/210,133.80
  6. Step 6: Final answer
    x = 226,748.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.