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Finding the Fourth Proportional to 120,594.52, 180,865.68 and 76,161.88

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Solution

The fourth proportional to 120,594.52, 180,865.68 and 76,161.88 is: 114,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594.52 : 180,865.68 = 76,161.88 : x
  2. Step 2: Convert to fraction form
    120,594.52/180,865.68 = 76,161.88/x
  3. Step 3: Cross multiply
    120,594.52x = 180,865.68 × 76,161.88
  4. Step 4: Simplify right side
    120,594.52x = 13,775,070,216.28
  5. Step 5: Solve for x
    x = 13,775,070,216.28/120,594.52
  6. Step 6: Final answer
    x = 114,226.34

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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.