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Finding the Fourth Proportional to 120,830.96, 166,741.32 and 67,119.68

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Solution

The fourth proportional to 120,830.96, 166,741.32 and 67,119.68 is: 92,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.96 : 166,741.32 = 67,119.68 : x
  2. Step 2: Convert to fraction form
    120,830.96/166,741.32 = 67,119.68/x
  3. Step 3: Cross multiply
    120,830.96x = 166,741.32 × 67,119.68
  4. Step 4: Simplify right side
    120,830.96x = 11,191,624,041.18
  5. Step 5: Solve for x
    x = 11,191,624,041.18/120,830.96
  6. Step 6: Final answer
    x = 92,622.16

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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.