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Finding the Fourth Proportional to 252,002.80, 377,761.20 and 145,277.20

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Solution

The fourth proportional to 252,002.80, 377,761.20 and 145,277.20 is: 217,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,002.80 : 377,761.20 = 145,277.20 : x
  2. Step 2: Convert to fraction form
    252,002.80/377,761.20 = 145,277.20/x
  3. Step 3: Cross multiply
    252,002.80x = 377,761.20 × 145,277.20
  4. Step 4: Simplify right side
    252,002.80x = 54,880,089,404.64
  5. Step 5: Solve for x
    x = 54,880,089,404.64/252,002.80
  6. Step 6: Final answer
    x = 217,775.71

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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.