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Finding the Fourth Proportional to 177,858.40, 266,763.30 and 53,199.40

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Solution

The fourth proportional to 177,858.40, 266,763.30 and 53,199.40 is: 79,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858.40 : 266,763.30 = 53,199.40 : x
  2. Step 2: Convert to fraction form
    177,858.40/266,763.30 = 53,199.40/x
  3. Step 3: Cross multiply
    177,858.40x = 266,763.30 × 53,199.40
  4. Step 4: Simplify right side
    177,858.40x = 14,191,647,502.02
  5. Step 5: Solve for x
    x = 14,191,647,502.02/177,858.40
  6. Step 6: Final answer
    x = 79,791.83

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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.