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Finding the Fourth Proportional to 107,002.20, 160,503.30 and 54,514.20

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Solution

The fourth proportional to 107,002.20, 160,503.30 and 54,514.20 is: 81,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,002.20 : 160,503.30 = 54,514.20 : x
  2. Step 2: Convert to fraction form
    107,002.20/160,503.30 = 54,514.20/x
  3. Step 3: Cross multiply
    107,002.20x = 160,503.30 × 54,514.20
  4. Step 4: Simplify right side
    107,002.20x = 8,749,708,996.86
  5. Step 5: Solve for x
    x = 8,749,708,996.86/107,002.20
  6. Step 6: Final answer
    x = 81,771.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.