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Finding the Fourth Proportional to 177,334.80, 266,002.20 and 137,677.20

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Solution

The fourth proportional to 177,334.80, 266,002.20 and 137,677.20 is: 206,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,334.80 : 266,002.20 = 137,677.20 : x
  2. Step 2: Convert to fraction form
    177,334.80/266,002.20 = 137,677.20/x
  3. Step 3: Cross multiply
    177,334.80x = 266,002.20 × 137,677.20
  4. Step 4: Simplify right side
    177,334.80x = 36,622,438,089.84
  5. Step 5: Solve for x
    x = 36,622,438,089.84/177,334.80
  6. Step 6: Final answer
    x = 206,515.80

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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.