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Finding the Fourth Proportional to 120,698.42, 180,977.04 and 36,433.31

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Solution

The fourth proportional to 120,698.42, 180,977.04 and 36,433.31 is: 54,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.42 : 180,977.04 = 36,433.31 : x
  2. Step 2: Convert to fraction form
    120,698.42/180,977.04 = 36,433.31/x
  3. Step 3: Cross multiply
    120,698.42x = 180,977.04 × 36,433.31
  4. Step 4: Simplify right side
    120,698.42x = 6,593,591,696.32
  5. Step 5: Solve for x
    x = 6,593,591,696.32/120,698.42
  6. Step 6: Final answer
    x = 54,628.65

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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.