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Finding the Fourth Proportional to 120,632.58, 180,764.35 and 64,480.68

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Solution

The fourth proportional to 120,632.58, 180,764.35 and 64,480.68 is: 96,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.58 : 180,764.35 = 64,480.68 : x
  2. Step 2: Convert to fraction form
    120,632.58/180,764.35 = 64,480.68/x
  3. Step 3: Cross multiply
    120,632.58x = 180,764.35 × 64,480.68
  4. Step 4: Simplify right side
    120,632.58x = 11,655,808,046.56
  5. Step 5: Solve for x
    x = 11,655,808,046.56/120,632.58
  6. Step 6: Final answer
    x = 96,622.39

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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.