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Finding the Fourth Proportional to 120,525.92, 166,335.98 and 66,827.78

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Solution

The fourth proportional to 120,525.92, 166,335.98 and 66,827.78 is: 92,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,525.92 : 166,335.98 = 66,827.78 : x
  2. Step 2: Convert to fraction form
    120,525.92/166,335.98 = 66,827.78/x
  3. Step 3: Cross multiply
    120,525.92x = 166,335.98 × 66,827.78
  4. Step 4: Simplify right side
    120,525.92x = 11,115,864,277.52
  5. Step 5: Solve for x
    x = 11,115,864,277.52/120,525.92
  6. Step 6: Final answer
    x = 92,228.00

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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.