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Finding the Fourth Proportional to 142,500.80, 213,770.40 and 49,035.20

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Solution

The fourth proportional to 142,500.80, 213,770.40 and 49,035.20 is: 73,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,500.80 : 213,770.40 = 49,035.20 : x
  2. Step 2: Convert to fraction form
    142,500.80/213,770.40 = 49,035.20/x
  3. Step 3: Cross multiply
    142,500.80x = 213,770.40 × 49,035.20
  4. Step 4: Simplify right side
    142,500.80x = 10,482,274,318.08
  5. Step 5: Solve for x
    x = 10,482,274,318.08/142,500.80
  6. Step 6: Final answer
    x = 73,559.41

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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.