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Finding the Fourth Proportional to 216,005.40, 323,748.90 and 110,770.20

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Solution

The fourth proportional to 216,005.40, 323,748.90 and 110,770.20 is: 166,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.40 : 323,748.90 = 110,770.20 : x
  2. Step 2: Convert to fraction form
    216,005.40/323,748.90 = 110,770.20/x
  3. Step 3: Cross multiply
    216,005.40x = 323,748.90 × 110,770.20
  4. Step 4: Simplify right side
    216,005.40x = 35,861,730,402.78
  5. Step 5: Solve for x
    x = 35,861,730,402.78/216,005.40
  6. Step 6: Final answer
    x = 166,022.38

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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.