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Finding the Fourth Proportional to 210,778.33, 316,103.68 and 110,883.43

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Solution

The fourth proportional to 210,778.33, 316,103.68 and 110,883.43 is: 166,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,778.33 : 316,103.68 = 110,883.43 : x
  2. Step 2: Convert to fraction form
    210,778.33/316,103.68 = 110,883.43/x
  3. Step 3: Cross multiply
    210,778.33x = 316,103.68 × 110,883.43
  4. Step 4: Simplify right side
    210,778.33x = 35,050,660,274.02
  5. Step 5: Solve for x
    x = 35,050,660,274.02/210,778.33
  6. Step 6: Final answer
    x = 166,291.57

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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.