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Finding the Fourth Proportional to 120,497.63, 166,217.47 and 75,153.83

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Solution

The fourth proportional to 120,497.63, 166,217.47 and 75,153.83 is: 103,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.63 : 166,217.47 = 75,153.83 : x
  2. Step 2: Convert to fraction form
    120,497.63/166,217.47 = 75,153.83/x
  3. Step 3: Cross multiply
    120,497.63x = 166,217.47 × 75,153.83
  4. Step 4: Simplify right side
    120,497.63x = 12,491,878,464.44
  5. Step 5: Solve for x
    x = 12,491,878,464.44/120,497.63
  6. Step 6: Final answer
    x = 103,669.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.