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Finding the Fourth Proportional to 107,207.68, 160,819.22 and 28,321.12

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Solution

The fourth proportional to 107,207.68, 160,819.22 and 28,321.12 is: 42,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,207.68 : 160,819.22 = 28,321.12 : x
  2. Step 2: Convert to fraction form
    107,207.68/160,819.22 = 28,321.12/x
  3. Step 3: Cross multiply
    107,207.68x = 160,819.22 × 28,321.12
  4. Step 4: Simplify right side
    107,207.68x = 4,554,580,427.93
  5. Step 5: Solve for x
    x = 4,554,580,427.93/107,207.68
  6. Step 6: Final answer
    x = 42,483.71

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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.