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Finding the Fourth Proportional to 216,000.40, 323,741.40 and 110,765.20

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Solution

The fourth proportional to 216,000.40, 323,741.40 and 110,765.20 is: 166,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,000.40 : 323,741.40 = 110,765.20 : x
  2. Step 2: Convert to fraction form
    216,000.40/323,741.40 = 110,765.20/x
  3. Step 3: Cross multiply
    216,000.40x = 323,741.40 × 110,765.20
  4. Step 4: Simplify right side
    216,000.40x = 35,859,280,919.28
  5. Step 5: Solve for x
    x = 35,859,280,919.28/216,000.40
  6. Step 6: Final answer
    x = 166,014.88

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1.5x scale

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.