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Finding the Fourth Proportional to 110,142.40, 165,213.60 and 102,706.60

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Solution

The fourth proportional to 110,142.40, 165,213.60 and 102,706.60 is: 154,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,142.40 : 165,213.60 = 102,706.60 : x
  2. Step 2: Convert to fraction form
    110,142.40/165,213.60 = 102,706.60/x
  3. Step 3: Cross multiply
    110,142.40x = 165,213.60 × 102,706.60
  4. Step 4: Simplify right side
    110,142.40x = 16,968,527,129.76
  5. Step 5: Solve for x
    x = 16,968,527,129.76/110,142.40
  6. Step 6: Final answer
    x = 154,059.90

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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.