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Finding the Fourth Proportional to 120,125.57, 165,766.16 and 66,407.38

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Solution

The fourth proportional to 120,125.57, 165,766.16 and 66,407.38 is: 91,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,125.57 : 165,766.16 = 66,407.38 : x
  2. Step 2: Convert to fraction form
    120,125.57/165,766.16 = 66,407.38/x
  3. Step 3: Cross multiply
    120,125.57x = 165,766.16 × 66,407.38
  4. Step 4: Simplify right side
    120,125.57x = 11,008,096,129.86
  5. Step 5: Solve for x
    x = 11,008,096,129.86/120,125.57
  6. Step 6: Final answer
    x = 91,638.25

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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.