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Finding the Fourth Proportional to 177,421.20, 266,131.80 and 174,505.20

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Solution

The fourth proportional to 177,421.20, 266,131.80 and 174,505.20 is: 261,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,421.20 : 266,131.80 = 174,505.20 : x
  2. Step 2: Convert to fraction form
    177,421.20/266,131.80 = 174,505.20/x
  3. Step 3: Cross multiply
    177,421.20x = 266,131.80 × 174,505.20
  4. Step 4: Simplify right side
    177,421.20x = 46,441,382,985.36
  5. Step 5: Solve for x
    x = 46,441,382,985.36/177,421.20
  6. Step 6: Final answer
    x = 261,757.80

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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.