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Finding the Fourth Proportional to 268,133.80, 402,200.70 and 101,900.20

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Solution

The fourth proportional to 268,133.80, 402,200.70 and 101,900.20 is: 152,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,133.80 : 402,200.70 = 101,900.20 : x
  2. Step 2: Convert to fraction form
    268,133.80/402,200.70 = 101,900.20/x
  3. Step 3: Cross multiply
    268,133.80x = 402,200.70 × 101,900.20
  4. Step 4: Simplify right side
    268,133.80x = 40,984,331,770.14
  5. Step 5: Solve for x
    x = 40,984,331,770.14/268,133.80
  6. Step 6: Final answer
    x = 152,850.30

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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.