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Finding the Fourth Proportional to 217,748.16, 326,544.48 and 75,556.80

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Solution

The fourth proportional to 217,748.16, 326,544.48 and 75,556.80 is: 113,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,748.16 : 326,544.48 = 75,556.80 : x
  2. Step 2: Convert to fraction form
    217,748.16/326,544.48 = 75,556.80/x
  3. Step 3: Cross multiply
    217,748.16x = 326,544.48 × 75,556.80
  4. Step 4: Simplify right side
    217,748.16x = 24,672,655,966.46
  5. Step 5: Solve for x
    x = 24,672,655,966.46/217,748.16
  6. Step 6: Final answer
    x = 113,308.22

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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.