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Finding the Fourth Proportional to 192,419.68, 288,706.12 and 74,059.24

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Solution

The fourth proportional to 192,419.68, 288,706.12 and 74,059.24 is: 111,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,419.68 : 288,706.12 = 74,059.24 : x
  2. Step 2: Convert to fraction form
    192,419.68/288,706.12 = 74,059.24/x
  3. Step 3: Cross multiply
    192,419.68x = 288,706.12 × 74,059.24
  4. Step 4: Simplify right side
    192,419.68x = 21,381,355,830.55
  5. Step 5: Solve for x
    x = 21,381,355,830.55/192,419.68
  6. Step 6: Final answer
    x = 111,118.34

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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.